LMFDB - Embedded newform 234.2.t.a.103.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [234,2,Mod(25,234)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(234, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([4, 3]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("234.25");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 234 = 2 \cdot 3^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	234.t (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.86849940730$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$14$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.7
Character	$\chi$	$=$	234.103
Dual form			234.2.t.a.25.7

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.866025 + 0.500000i) q^{2} +(1.66410 + 0.480381i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.515076 - 0.297379i) q^{5} +(-1.68134 + 0.416029i) q^{6} +(1.45217 - 0.838409i) q^{7} +1.00000i q^{8} +(2.53847 + 1.59880i) q^{9} +0.594758 q^{10} +(0.416337 - 0.240372i) q^{11} +(1.24807 - 1.20096i) q^{12} +(3.56065 + 0.567277i) q^{13} +(-0.838409 + 1.45217i) q^{14} +(-0.714283 - 0.742302i) q^{15} +(-0.500000 - 0.866025i) q^{16} -2.09349 q^{17} +(-2.99778 - 0.115371i) q^{18} +0.480744i q^{19} +(-0.515076 + 0.297379i) q^{20} +(2.81931 - 0.697605i) q^{21} +(-0.240372 + 0.416337i) q^{22} +(-1.83339 + 3.17553i) q^{23} +(-0.480381 + 1.66410i) q^{24} +(-2.32313 - 4.02378i) q^{25} +(-3.36725 + 1.28905i) q^{26} +(3.45624 + 3.88001i) q^{27} -1.67682i q^{28} +(1.23339 + 2.13629i) q^{29} +(0.989738 + 0.285710i) q^{30} +(0.993791 + 0.573765i) q^{31} +(0.866025 + 0.500000i) q^{32} +(0.808297 - 0.200004i) q^{33} +(1.81302 - 1.04675i) q^{34} -0.997301 q^{35} +(2.65384 - 1.39898i) q^{36} +3.65012i q^{37} +(-0.240372 - 0.416337i) q^{38} +(5.65277 + 2.65447i) q^{39} +(0.297379 - 0.515076i) q^{40} +(-8.58235 - 4.95502i) q^{41} +(-2.09279 + 2.01380i) q^{42} +(-3.45822 - 5.98981i) q^{43} -0.480744i q^{44} +(-0.832053 - 1.57839i) q^{45} -3.66679i q^{46} +(5.40488 - 3.12051i) q^{47} +(-0.416029 - 1.68134i) q^{48} +(-2.09414 + 3.62716i) q^{49} +(4.02378 + 2.32313i) q^{50} +(-3.48378 - 1.00567i) q^{51} +(2.27160 - 2.79997i) q^{52} -5.08592 q^{53} +(-4.93319 - 1.63207i) q^{54} -0.285927 q^{55} +(0.838409 + 1.45217i) q^{56} +(-0.230940 + 0.800008i) q^{57} +(-2.13629 - 1.23339i) q^{58} +(-8.13185 - 4.69493i) q^{59} +(-0.999994 + 0.247437i) q^{60} +(-3.90635 - 6.76599i) q^{61} -1.14753 q^{62} +(5.02673 + 0.193456i) q^{63} -1.00000 q^{64} +(-1.66531 - 1.35105i) q^{65} +(-0.600004 + 0.577357i) q^{66} +(-12.4551 - 7.19096i) q^{67} +(-1.04675 + 1.81302i) q^{68} +(-4.57642 + 4.40368i) q^{69} +(0.863688 - 0.498651i) q^{70} -6.51028i q^{71} +(-1.59880 + 2.53847i) q^{72} +5.91514i q^{73} +(-1.82506 - 3.16110i) q^{74} +(-1.93298 - 7.81197i) q^{75} +(0.416337 + 0.240372i) q^{76} +(0.403061 - 0.698121i) q^{77} +(-6.22268 + 0.527544i) q^{78} +(1.02895 + 1.78219i) q^{79} +0.594758i q^{80} +(3.88765 + 8.11703i) q^{81} +9.91005 q^{82} +(9.57834 - 5.53006i) q^{83} +(0.805511 - 2.79040i) q^{84} +(1.07831 + 0.622560i) q^{85} +(5.98981 + 3.45822i) q^{86} +(1.02625 + 4.14750i) q^{87} +(0.240372 + 0.416337i) q^{88} +9.48720i q^{89} +(1.50978 + 0.950902i) q^{90} +(5.64626 - 2.16150i) q^{91} +(1.83339 + 3.17553i) q^{92} +(1.37814 + 1.43220i) q^{93} +(-3.12051 + 5.40488i) q^{94} +(0.142963 - 0.247620i) q^{95} +(1.20096 + 1.24807i) q^{96} +(-8.41374 + 4.85767i) q^{97} -4.18828i q^{98} +(1.44117 + 0.0554640i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q + 14 q^{4} - 16 q^{9} + 2 q^{13} + 8 q^{14} - 14 q^{16} + 16 q^{17} - 8 q^{23} + 14 q^{25} + 8 q^{26} + 18 q^{27} - 16 q^{29} - 8 q^{30} - 68 q^{35} - 8 q^{36} - 8 q^{39} - 10 q^{42} - 4 q^{43} + 10 q^{49}+ \cdots + 8 q^{92}+O(q^{100}) $ 28 * q + 14 * q^4 - 16 * q^9 + 2 * q^13 + 8 * q^14 - 14 * q^16 + 16 * q^17 - 8 * q^23 + 14 * q^25 + 8 * q^26 + 18 * q^27 - 16 * q^29 - 8 * q^30 - 68 * q^35 - 8 * q^36 - 8 * q^39 - 10 * q^42 - 4 * q^43 + 10 * q^49 + 58 * q^51 - 2 * q^52 - 120 * q^53 - 8 * q^56 + 28 * q^61 + 68 * q^62 - 28 * q^64 - 8 * q^65 - 24 * q^66 + 8 * q^68 - 92 * q^69 + 16 * q^74 + 32 * q^75 - 24 * q^77 - 22 * q^78 + 28 * q^79 + 8 * q^81 - 48 * q^82 + 68 * q^87 - 50 * q^90 + 8 * q^92

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/234\mathbb{Z}\right)^\times$.

$n$	$145$	$209$
$\chi(n)$	$-1$	$e\left(\frac{1}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$3$	1.66410	+	0.480381i	0.960770	+	0.277348i
$3$	1.66410	+	0.480381i	0.960770	+	0.277348i
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	−0.515076	−	0.297379i	−0.230349	−	0.132992i	0.380384	−	0.924829i	$-0.375792\pi$
$5$	−0.515076	−	0.297379i	−0.230349	−	0.132992i	−0.610733	+	0.791837i	$0.709125\pi$
$6$	−1.68134	+	0.416029i	−0.686406	+	0.169843i
$7$	1.45217	−	0.838409i	0.548868	−	0.316889i	−0.199798	−	0.979837i	$-0.564028\pi$
$7$	1.45217	−	0.838409i	0.548868	−	0.316889i	0.748665	+	0.662948i	$0.230695\pi$
$8$			1.00000i			0.353553i
$9$	2.53847	+	1.59880i	0.846156	+	0.532935i
$10$	0.594758			0.188079
$11$	0.416337	−	0.240372i	0.125530	−	0.0724750i	−0.435920	−	0.899985i	$-0.643577\pi$
$11$	0.416337	−	0.240372i	0.125530	−	0.0724750i	0.561450	+	0.827510i	$0.310244\pi$
$12$	1.24807	−	1.20096i	0.360288	−	0.346688i
$13$	3.56065	+	0.567277i	0.987545	+	0.157334i
$13$	3.56065	+	0.567277i	0.987545	+	0.157334i
$14$	−0.838409	+	1.45217i	−0.224074	+	0.388108i
$15$	−0.714283	−	0.742302i	−0.184427	−	0.191661i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−2.09349			−0.507746			−0.253873	−	0.967238i	$-0.581705\pi$
$17$	−2.09349			−0.507746			−0.253873	+	0.967238i	$0.581705\pi$
$18$	−2.99778	−	0.115371i	−0.706584	−	0.0271932i
$19$			0.480744i			0.110290i	0.998478	+	0.0551452i	$0.0175622\pi$
$19$			0.480744i			0.110290i	−0.998478	+	0.0551452i	$0.982438\pi$
$20$	−0.515076	+	0.297379i	−0.115174	+	0.0664960i
$21$	2.81931	−	0.697605i	0.615224	−	0.152230i
$22$	−0.240372	+	0.416337i	−0.0512475	+	0.0887633i
$23$	−1.83339	+	3.17553i	−0.382289	+	0.662144i	−0.991389	−	0.130950i	$-0.958197\pi$
$23$	−1.83339	+	3.17553i	−0.382289	+	0.662144i	0.609100	+	0.793093i	$0.291531\pi$
$24$	−0.480381	+	1.66410i	−0.0980573	+	0.339683i
$25$	−2.32313	−	4.02378i	−0.464626	−	0.804756i
$26$	−3.36725	+	1.28905i	−0.660372	+	0.252803i
$27$	3.45624	+	3.88001i	0.665153	+	0.746707i
$28$		−	1.67682i		−	0.316889i
$29$	1.23339	+	2.13629i	0.229035	+	0.396700i	0.957522	−	0.288359i	$-0.0931098\pi$
$29$	1.23339	+	2.13629i	0.229035	+	0.396700i	−0.728488	+	0.685059i	$0.759776\pi$
$30$	0.989738	+	0.285710i	0.180701	+	0.0521633i
$31$	0.993791	+	0.573765i	0.178490	+	0.103051i	0.586583	−	0.809889i	$-0.300473\pi$
$31$	0.993791	+	0.573765i	0.178490	+	0.103051i	−0.408093	+	0.912940i	$0.633806\pi$
$32$	0.866025	+	0.500000i	0.153093	+	0.0883883i
$33$	0.808297	−	0.200004i	0.140706	−	0.0348162i
$34$	1.81302	−	1.04675i	0.310930	−	0.179515i
$35$	−0.997301			−0.168575
$36$	2.65384	−	1.39898i	0.442307	−	0.233163i
$37$			3.65012i			0.600076i	0.953927	+	0.300038i	$0.0969994\pi$
$37$			3.65012i			0.600076i	−0.953927	+	0.300038i	$0.903001\pi$
$38$	−0.240372	−	0.416337i	−0.0389935	−	0.0675388i
$39$	5.65277	+	2.65447i	0.905167	+	0.425056i
$40$	0.297379	−	0.515076i	0.0470198	−	0.0814406i
$41$	−8.58235	−	4.95502i	−1.34034	−	0.773845i	−0.353481	−	0.935442i	$-0.615002\pi$
$41$	−8.58235	−	4.95502i	−1.34034	−	0.773845i	−0.986857	+	0.161597i	$0.948336\pi$
$42$	−2.09279	+	2.01380i	−0.322925	+	0.310736i
$43$	−3.45822	−	5.98981i	−0.527374	−	0.913438i	−0.999491	−	0.0319023i	$-0.989843\pi$
$43$	−3.45822	−	5.98981i	−0.527374	−	0.913438i	0.472117	−	0.881536i	$-0.343490\pi$
$44$		−	0.480744i		−	0.0724750i
$45$	−0.832053	−	1.57839i	−0.124035	−	0.235293i
$46$		−	3.66679i		−	0.540638i
$47$	5.40488	−	3.12051i	0.788383	−	0.455173i	−0.0510099	−	0.998698i	$-0.516244\pi$
$47$	5.40488	−	3.12051i	0.788383	−	0.455173i	0.839393	+	0.543525i	$0.182911\pi$
$48$	−0.416029	−	1.68134i	−0.0600486	−	0.242681i
$49$	−2.09414	+	3.62716i	−0.299163	+	0.518165i
$50$	4.02378	+	2.32313i	0.569049	+	0.328540i
$51$	−3.48378	−	1.00567i	−0.487827	−	0.140822i
$52$	2.27160	−	2.79997i	0.315014	−	0.388286i
$53$	−5.08592			−0.698605			−0.349302	−	0.937010i	$-0.613581\pi$
$53$	−5.08592			−0.698605			−0.349302	+	0.937010i	$0.613581\pi$
$54$	−4.93319	−	1.63207i	−0.671322	−	0.222096i
$55$	−0.285927			−0.0385544
$56$	0.838409	+	1.45217i	0.112037	+	0.194054i
$57$	−0.230940	+	0.800008i	−0.0305888	+	0.105964i
$58$	−2.13629	−	1.23339i	−0.280509	−	0.161952i
$59$	−8.13185	−	4.69493i	−1.05868	−	0.611227i	−0.133611	−	0.991034i	$-0.542657\pi$
$59$	−8.13185	−	4.69493i	−1.05868	−	0.611227i	−0.925066	+	0.379807i	$0.875991\pi$
$60$	−0.999994	+	0.247437i	−0.129099	+	0.0319439i
$61$	−3.90635	−	6.76599i	−0.500157	−	0.866297i	−1.00000		0.000180927i	$-0.999942\pi$
$61$	−3.90635	−	6.76599i	−0.500157	−	0.866297i	0.499843	−	0.866116i	$-0.333391\pi$
$62$	−1.14753			−0.145737
$63$	5.02673	+	0.193456i	0.633309	+	0.0243732i
$64$	−1.00000			−0.125000
$65$	−1.66531	−	1.35105i	−0.206556	−	0.167577i
$66$	−0.600004	+	0.577357i	−0.0738554	+	0.0710677i
$67$	−12.4551	−	7.19096i	−1.52163	−	0.878516i	−0.999674	−	0.0255454i	$-0.991868\pi$
$67$	−12.4551	−	7.19096i	−1.52163	−	0.878516i	−0.521960	−	0.852970i	$-0.674799\pi$
$68$	−1.04675	+	1.81302i	−0.126936	+	0.219860i
$69$	−4.57642	+	4.40368i	−0.550936	+	0.530141i
$70$	0.863688	−	0.498651i	0.103231	−	0.0596002i
$71$		−	6.51028i		−	0.772628i	−0.922367	−	0.386314i	$-0.873748\pi$
$71$		−	6.51028i		−	0.772628i	0.922367	−	0.386314i	$-0.126252\pi$
$72$	−1.59880	+	2.53847i	−0.188421	+	0.299161i
$73$			5.91514i			0.692315i	0.938176	+	0.346157i	$0.112514\pi$
$73$			5.91514i			0.692315i	−0.938176	+	0.346157i	$0.887486\pi$
$74$	−1.82506	−	3.16110i	−0.212159	−	0.367470i
$75$	−1.93298	−	7.81197i	−0.223201	−	0.902048i
$76$	0.416337	+	0.240372i	0.0477571	+	0.0275726i
$77$	0.403061	−	0.698121i	0.0459330	−	0.0795583i
$78$	−6.22268	+	0.527544i	−0.704579	+	0.0597326i
$79$	1.02895	+	1.78219i	0.115766	+	0.200512i	0.918086	−	0.396382i	$-0.129734\pi$
$79$	1.02895	+	1.78219i	0.115766	+	0.200512i	−0.802320	+	0.596894i	$0.796401\pi$
$80$			0.594758i			0.0664960i
$81$	3.88765	+	8.11703i	0.431961	+	0.901892i
$82$	9.91005			1.09438
$83$	9.57834	−	5.53006i	1.05136	−	0.607003i	0.128330	−	0.991732i	$-0.459038\pi$
$83$	9.57834	−	5.53006i	1.05136	−	0.607003i	0.923030	+	0.384729i	$0.125705\pi$
$84$	0.805511	−	2.79040i	0.0878885	−	0.304457i
$85$	1.07831	+	0.622560i	0.116959	+	0.0675261i
$86$	5.98981	+	3.45822i	0.645898	+	0.372909i
$87$	1.02625	+	4.14750i	0.110026	+	0.444659i
$88$	0.240372	+	0.416337i	0.0256238	+	0.0443817i
$89$			9.48720i			1.00564i	0.864391	+	0.502821i	$0.167704\pi$
$89$			9.48720i			1.00564i	−0.864391	+	0.502821i	$0.832296\pi$
$90$	1.50978	+	0.950902i	0.159144	+	0.100234i
$91$	5.64626	−	2.16150i	0.591889	−	0.226586i
$92$	1.83339	+	3.17553i	0.191144	+	0.331072i
$93$	1.37814	+	1.43220i	0.142907	+	0.148512i
$94$	−3.12051	+	5.40488i	−0.321856	+	0.557471i
$95$	0.142963	−	0.247620i	0.0146677	−	0.0254053i
$96$	1.20096	+	1.24807i	0.122573	+	0.127381i
$97$	−8.41374	+	4.85767i	−0.854286	+	0.493222i	−0.862095	−	0.506747i	$-0.830848\pi$
$97$	−8.41374	+	4.85767i	−0.854286	+	0.493222i	0.00780887	+	0.999970i	$0.497514\pi$
$98$		−	4.18828i		−	0.423080i
$99$	1.44117	+	0.0554640i	0.144843	+	0.00557435i
$100$	−4.64626			−0.464626
$101$	2.89748	+	5.01858i	0.288310	+	0.499367i	0.973406	−	0.229085i	$-0.0735734\pi$
$101$	2.89748	+	5.01858i	0.288310	+	0.499367i	−0.685097	+	0.728452i	$0.740240\pi$
$102$	3.51988	−	0.870952i	0.348520	−	0.0862371i
$103$	−0.857037	+	1.48443i	−0.0844463	+	0.146265i	−0.905155	−	0.425081i	$-0.860245\pi$
$103$	−0.857037	+	1.48443i	−0.0844463	+	0.146265i	0.820709	+	0.571347i	$0.193579\pi$
$104$	−0.567277	+	3.56065i	−0.0556261	+	0.349150i
$105$	−1.65961	−	0.479084i	−0.161961	−	0.0467539i
$106$	4.40453	−	2.54296i	0.427806	−	0.246994i
$107$	14.1021			1.36330			0.681651	−	0.731678i	$-0.261262\pi$
$107$	14.1021			1.36330			0.681651	+	0.731678i	$0.261262\pi$
$108$	5.08830	−	1.05318i	0.489622	−	0.101343i
$109$			18.3474i			1.75736i	0.477413	+	0.878679i	$0.341575\pi$
$109$			18.3474i			1.75736i	−0.477413	+	0.878679i	$0.658425\pi$
$110$	0.247620	−	0.142963i	0.0236096	−	0.0136310i
$111$	−1.75345	+	6.07417i	−0.166430	+	0.576535i
$112$	−1.45217	−	0.838409i	−0.137217	−	0.0792222i
$113$	10.1390	−	17.5612i	0.953793	−	1.65202i	0.216686	−	0.976241i	$-0.430475\pi$
$113$	10.1390	−	17.5612i	0.953793	−	1.65202i	0.737107	−	0.675776i	$-0.236191\pi$
$114$	−0.200004	−	0.808297i	−0.0187321	−	0.0757040i
$115$	1.88867	−	1.09043i	0.176120	−	0.101683i
$116$	2.46678			0.229035
$117$	8.13162	+	7.13279i	0.751769	+	0.659427i
$118$	9.38985			0.864406
$119$	−3.04010	+	1.75520i	−0.278685	+	0.160899i
$120$	0.742302	−	0.714283i	0.0677626	−	0.0652048i
$121$	−5.38444	+	9.32613i	−0.489495	+	0.847830i
$122$	6.76599	+	3.90635i	0.612564	+	0.353664i
$123$	−11.9016	−	12.3685i	−1.07313	−	1.11523i
$124$	0.993791	−	0.573765i	0.0892450	−	0.0515256i
$125$			5.73719i			0.513150i
$126$	−4.45001	+	2.34583i	−0.396438	+	0.208983i
$127$	18.5473			1.64581			0.822904	−	0.568180i	$-0.192352\pi$
$127$	18.5473			1.64581			0.822904	+	0.568180i	$0.192352\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	−2.87744	−	11.6289i	−0.253344	−	1.02387i
$130$	2.11772	+	0.337393i	0.185737	+	0.0295913i
$131$	2.32256	−	4.02280i	0.202923	−	0.351474i	−0.746546	−	0.665334i	$-0.768289\pi$
$131$	2.32256	−	4.02280i	0.202923	−	0.351474i	0.949469	+	0.313861i	$0.101622\pi$
$132$	0.230940	−	0.800008i	0.0201008	−	0.0696317i
$133$	0.403061	+	0.698121i	0.0349498	+	0.0605348i
$134$	14.3819			1.24241
$135$	−0.626390	−	3.02631i	−0.0539111	−	0.260463i
$136$		−	2.09349i		−	0.179515i
$137$	−11.2762	+	6.51034i	−0.963395	+	0.556216i	−0.897216	−	0.441592i	$-0.854414\pi$
$137$	−11.2762	+	6.51034i	−0.963395	+	0.556216i	−0.0661784	+	0.997808i	$0.521081\pi$
$138$	1.76145	−	6.10190i	0.149945	−	0.519429i
$139$	−5.09027	+	8.81661i	−0.431751	+	0.747815i	−0.997024	−	0.0770888i	$-0.975437\pi$
$139$	−5.09027	+	8.81661i	−0.431751	+	0.747815i	0.565273	+	0.824904i	$0.308771\pi$
$140$	−0.498651	+	0.863688i	−0.0421437	+	0.0729950i
$141$	10.4933	−	2.59645i	0.883696	−	0.218660i
$142$	3.25514	+	5.63807i	0.273165	+	0.473136i
$143$	1.61879	−	0.619702i	0.135370	−	0.0518221i
$144$	0.115371	−	2.99778i	0.00961426	−	0.249815i
$145$		−	1.46714i		−	0.121839i
$146$	−2.95757	−	5.12266i	−0.244770	−	0.423955i
$147$	−5.22728	+	5.02997i	−0.431139	+	0.414865i
$148$	3.16110	+	1.82506i	0.259841	+	0.150019i
$149$	−4.54901	−	2.62637i	−0.372669	−	0.215161i	0.301955	−	0.953322i	$-0.402361\pi$
$149$	−4.54901	−	2.62637i	−0.372669	−	0.215161i	−0.674624	+	0.738162i	$0.735694\pi$
$150$	5.57999	+	5.79887i	0.455605	+	0.473476i
$151$	−10.3258	+	5.96162i	−0.840304	+	0.485150i	−0.857367	−	0.514705i	$-0.827902\pi$
$151$	−10.3258	+	5.96162i	−0.840304	+	0.485150i	0.0170637	+	0.999854i	$0.494568\pi$
$152$	−0.480744			−0.0389935
$153$	−5.31426	−	3.34708i	−0.429632	−	0.270596i
$154$			0.806121i			0.0649591i
$155$	−0.341252	−	0.591065i	−0.0274100	−	0.0474755i
$156$	5.12522	−	3.56820i	0.410346	−	0.285685i
$157$	−6.19540	+	10.7307i	−0.494446	+	0.856406i	−0.999980	−	0.00640095i	$-0.997962\pi$
$157$	−6.19540	+	10.7307i	−0.494446	+	0.856406i	0.505533	+	0.862807i	$0.331296\pi$
$158$	−1.78219	−	1.02895i	−0.141784	−	0.0818588i
$159$	−8.46349	−	2.44318i	−0.671198	−	0.193757i
$160$	−0.297379	−	0.515076i	−0.0235099	−	0.0407203i
$161$			6.14853i			0.484572i
$162$	−7.42532	−	5.08573i	−0.583388	−	0.399573i
$163$		−	21.3629i		−	1.67327i	−0.547760	−	0.836635i	$-0.684519\pi$
$163$		−	21.3629i		−	1.67327i	0.547760	−	0.836635i	$-0.315481\pi$
$164$	−8.58235	+	4.95502i	−0.670169	+	0.386922i
$165$	−0.475811	−	0.137354i	−0.0370418	−	0.0106930i
$166$	−5.53006	+	9.57834i	−0.429216	+	0.743423i
$167$	12.7614	+	7.36778i	0.987504	+	0.570136i	0.904527	−	0.426416i	$-0.140224\pi$
$167$	12.7614	+	7.36778i	0.987504	+	0.570136i	0.0829768	+	0.996551i	$0.473557\pi$
$168$	0.697605	+	2.81931i	0.0538214	+	0.217514i
$169$	12.3564	+	4.03974i	0.950492	+	0.310749i
$170$	−1.24512			−0.0954964
$171$	−0.768616	+	1.22035i	−0.0587776	+	0.0933229i
$172$	−6.91644			−0.527374
$173$	−5.82435	−	10.0881i	−0.442817	−	0.766982i	0.555080	−	0.831797i	$-0.312688\pi$
$173$	−5.82435	−	10.0881i	−0.442817	−	0.766982i	−0.997897	+	0.0648152i	$0.979354\pi$
$174$	−2.96251	−	3.07872i	−0.224587	−	0.233397i
$175$	−6.74715	−	3.89547i	−0.510037	−	0.294470i
$176$	−0.416337	−	0.240372i	−0.0313826	−	0.0181187i
$177$	−11.2769	−	11.7192i	−0.847622	−	0.880870i
$178$	−4.74360	−	8.21616i	−0.355548	−	0.615827i
$179$	−0.896158			−0.0669820			−0.0334910	−	0.999439i	$-0.510663\pi$
$179$	−0.896158			−0.0669820			−0.0334910	+	0.999439i	$0.510663\pi$
$180$	−1.78295	−	0.0686180i	−0.132894	−	0.00511448i
$181$	1.42191			0.105689			0.0528447	−	0.998603i	$-0.483171\pi$
$181$	1.42191			0.105689			0.0528447	+	0.998603i	$0.483171\pi$
$182$	−3.80906	+	4.69504i	−0.282346	+	0.348020i
$183$	−3.25031	−	13.1358i	−0.240270	−	0.971029i
$184$	−3.17553	−	1.83339i	−0.234103	−	0.135160i
$185$	1.08547	−	1.88009i	0.0798053	−	0.138227i
$186$	−1.90961	−	0.551252i	−0.140019	−	0.0404197i
$187$	−0.871597	+	0.503217i	−0.0637375	+	0.0367989i
$188$		−	6.24102i		−	0.455173i
$189$	8.27206	+	2.73668i	0.601704	+	0.199064i
$190$			0.285927i			0.0207433i
$191$	7.42036	+	12.8524i	0.536918	+	0.929970i	0.999068	+	0.0431677i	$0.0137450\pi$
$191$	7.42036	+	12.8524i	0.536918	+	0.929970i	−0.462150	+	0.886802i	$0.652922\pi$
$192$	−1.66410	−	0.480381i	−0.120096	−	0.0346685i
$193$	12.2175	+	7.05376i	0.879433	+	0.507741i	0.870471	−	0.492219i	$-0.163814\pi$
$193$	12.2175	+	7.05376i	0.879433	+	0.507741i	0.00896136	+	0.999960i	$0.497147\pi$
$194$	4.85767	−	8.41374i	0.348761	−	0.604071i
$195$	−2.12222	−	3.04827i	−0.151975	−	0.218291i
$196$	2.09414	+	3.62716i	0.149581	+	0.259083i
$197$		−	0.442517i		−	0.0315280i	−0.999876	−	0.0157640i	$-0.994982\pi$
$197$		−	0.442517i		−	0.0315280i	0.999876	−	0.0157640i	$-0.00501805\pi$
$198$	−1.27582	+	0.672550i	−0.0906685	+	0.0477960i
$199$	−13.2925			−0.942282			−0.471141	−	0.882058i	$-0.656158\pi$
$199$	−13.2925			−0.942282			−0.471141	+	0.882058i	$0.656158\pi$
$200$	4.02378	−	2.32313i	0.284524	−	0.164270i
$201$	−17.2722	−	17.9497i	−1.21828	−	1.26607i
$202$	−5.01858	−	2.89748i	−0.353106	−	0.203866i
$203$	3.58217	+	2.06817i	0.251419	+	0.145157i
$204$	−2.61283	+	2.51421i	−0.182935	+	0.176030i
$205$	2.94704	+	5.10442i	0.205830	+	0.356508i
$206$		−	1.71407i		−	0.119425i
$207$	−9.73106	+	5.12975i	−0.676356	+	0.356542i
$208$	−1.28905	−	3.36725i	−0.0893793	−	0.233477i
$209$	0.115558	+	0.200152i	0.00799329	+	0.0138448i
$210$	1.67681	−	0.414906i	0.115711	−	0.0286313i
$211$	4.82032	−	8.34904i	0.331845	−	0.574772i	−0.651029	−	0.759053i	$-0.725662\pi$
$211$	4.82032	−	8.34904i	0.331845	−	0.574772i	0.982874	+	0.184281i	$0.0589957\pi$
$212$	−2.54296	+	4.40453i	−0.174651	+	0.302505i
$213$	3.12741	−	10.8338i	0.214287	−	0.742318i
$214$	−12.2128	+	7.05105i	−0.834848	+	0.482000i
$215$			4.11361i			0.280546i
$216$	−3.88001	+	3.45624i	−0.264001	+	0.235167i
$217$	1.92420			0.130623
$218$	−9.17368	−	15.8893i	−0.621320	−	1.07616i
$219$	−2.84152	+	9.84340i	−0.192012	+	0.665155i
$220$	−0.142963	+	0.247620i	−0.00963859	+	0.0166945i
$221$	−7.45418	−	1.18759i	−0.501422	−	0.0798858i
$222$	−1.51856	−	6.13711i	−0.101919	−	0.411896i
$223$	20.0340	−	11.5666i	1.34158	−	0.774559i	0.354537	−	0.935042i	$-0.384638\pi$
$223$	20.0340	−	11.5666i	1.34158	−	0.774559i	0.987039	+	0.160482i	$0.0513050\pi$
$224$	1.67682			0.112037
$225$	0.536045	−	13.9285i	0.0357363	−	0.928565i
$226$			20.2779i			1.34887i
$227$	11.5239	−	6.65331i	0.764866	−	0.441595i	−0.0661743	−	0.997808i	$-0.521079\pi$
$227$	11.5239	−	6.65331i	0.764866	−	0.441595i	0.831040	+	0.556213i	$0.187746\pi$
$228$	0.577357	+	0.600004i	0.0382364	+	0.0397362i
$229$	0.700965	+	0.404702i	0.0463211	+	0.0267435i	0.522982	−	0.852344i	$-0.324820\pi$
$229$	0.700965	+	0.404702i	0.0463211	+	0.0267435i	−0.476661	+	0.879087i	$0.658153\pi$
$230$	−1.09043	+	1.88867i	−0.0719005	+	0.124535i
$231$	1.00610	−	0.968122i	0.0661964	−	0.0636978i
$232$	−2.13629	+	1.23339i	−0.140254	+	0.0809760i
$233$	−15.4712			−1.01355			−0.506776	−	0.862078i	$-0.669163\pi$
$233$	−15.4712			−1.01355			−0.506776	+	0.862078i	$0.669163\pi$
$234$	−10.6086	−	2.11137i	−0.693505	−	0.138024i
$235$	−3.71190			−0.242138
$236$	−8.13185	+	4.69493i	−0.529338	+	0.305614i
$237$	0.856146	+	3.46004i	0.0556126	+	0.224754i
$238$	1.75520	−	3.04010i	0.113773	−	0.197060i
$239$	25.2511	+	14.5788i	1.63336	+	0.943021i	0.983047	+	0.183355i	$0.0586958\pi$
$239$	25.2511	+	14.5788i	1.63336	+	0.943021i	0.650313	+	0.759666i	$0.274638\pi$
$240$	−0.285710	+	0.989738i	−0.0184425	+	0.0638873i
$241$	13.5054	−	7.79735i	0.869959	−	0.502271i	0.00262472	−	0.999997i	$-0.499165\pi$
$241$	13.5054	−	7.79735i	0.869959	−	0.502271i	0.867335	+	0.497725i	$0.165831\pi$
$242$		−	10.7689i		−	0.692250i
$243$	2.57017	+	15.3751i	0.164877	+	0.986314i
$244$	−7.81270			−0.500157
$245$	2.15728	−	1.24551i	0.137824	−	0.0795725i
$246$	16.4913	+	4.76060i	1.05145	+	0.303524i
$247$	−0.272715	+	1.71176i	−0.0173524	+	0.108917i
$248$	−0.573765	+	0.993791i	−0.0364341	+	0.0631058i
$249$	18.5959	−	4.60133i	1.17846	−	0.291597i
$250$	−2.86860	−	4.96856i	−0.181426	−	0.314239i
$251$	−2.79495			−0.176416			−0.0882079	−	0.996102i	$-0.528114\pi$
$251$	−2.79495			−0.176416			−0.0882079	+	0.996102i	$0.528114\pi$
$252$	2.68090	−	4.25655i	0.168881	−	0.268137i
$253$			1.76279i			0.110825i
$254$	−16.0624	+	9.27366i	−1.00785	+	0.581881i
$255$	1.49534	+	1.55400i	0.0936421	+	0.0973153i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−10.4798	+	18.1515i	−0.653712	+	1.13226i	0.328503	+	0.944503i	$0.393456\pi$
$257$	−10.4798	+	18.1515i	−0.653712	+	1.13226i	−0.982215	+	0.187759i	$0.939877\pi$
$258$	8.30640	+	8.63222i	0.517134	+	0.537419i
$259$	3.06029	+	5.30059i	0.190157	+	0.329362i
$260$	−2.00270	+	0.766671i	−0.124202	+	0.0475469i
$261$	−0.284595	+	7.39486i	−0.0176160	+	0.457730i
$262$			4.64513i			0.286977i
$263$	−7.92418	−	13.7251i	−0.488626	−	0.846325i	0.511288	−	0.859409i	$-0.329168\pi$
$263$	−7.92418	−	13.7251i	−0.488626	−	0.846325i	−0.999914	+	0.0130839i	$0.995835\pi$
$264$	0.200004	+	0.808297i	0.0123094	+	0.0497472i
$265$	2.61963	+	1.51245i	0.160923	+	0.0929088i
$266$	−0.698121	−	0.403061i	−0.0428046	−	0.0247132i
$267$	−4.55747	+	15.7877i	−0.278913	+	0.966189i
$268$	−12.4551	+	7.19096i	−0.760817	+	0.439258i
$269$	18.9028			1.15252			0.576261	−	0.817266i	$-0.304511\pi$
$269$	18.9028			1.15252			0.576261	+	0.817266i	$0.304511\pi$
$270$	2.05562	+	2.30767i	0.125101	+	0.140440i
$271$		−	9.63804i		−	0.585469i	−0.956194	−	0.292735i	$-0.905435\pi$
$271$		−	9.63804i		−	0.585469i	0.956194	−	0.292735i	$-0.0945653\pi$
$272$	1.04675	+	1.81302i	0.0634682	+	0.109930i
$273$	10.4343	−	0.884595i	0.631512	−	0.0535381i
$274$	6.51034	−	11.2762i	0.393304	−	0.681223i
$275$	−1.93441	−	1.11683i	−0.116649	−	0.0673475i
$276$	1.52549	+	6.16513i	0.0918237	+	0.371097i
$277$	−1.35010	−	2.33844i	−0.0811197	−	0.140503i	0.822611	−	0.568604i	$-0.192516\pi$
$277$	−1.35010	−	2.33844i	−0.0811197	−	0.140503i	−0.903731	+	0.428100i	$0.859183\pi$
$278$		−	10.1805i		−	0.610588i
$279$	1.60537	+	3.04536i	0.0961109	+	0.182321i
$280$		−	0.997301i		−	0.0596002i
$281$	9.34820	−	5.39719i	0.557667	−	0.321969i	−0.194542	−	0.980894i	$-0.562322\pi$
$281$	9.34820	−	5.39719i	0.557667	−	0.321969i	0.752208	+	0.658925i	$0.228989\pi$
$282$	−7.78925	+	7.49524i	−0.463843	+	0.446335i
$283$	14.6088	−	25.3032i	0.868403	−	1.50412i	0.00477479	−	0.999989i	$-0.498480\pi$
$283$	14.6088	−	25.3032i	0.868403	−	1.50412i	0.863628	−	0.504129i	$-0.168187\pi$
$284$	−5.63807	−	3.25514i	−0.334558	−	0.193157i
$285$	0.356857	−	0.343388i	0.0211384	−	0.0203405i
$286$	−1.09206	+	1.34607i	−0.0645748	+	0.0795948i
$287$	−16.6173			−0.980891
$288$	1.39898	+	2.65384i	0.0824355	+	0.156379i
$289$	−12.6173			−0.742194
$290$	0.733568	+	1.27058i	0.0430766	+	0.0746109i
$291$	−16.3348	+	4.04187i	−0.957566	+	0.236938i
$292$	5.12266	+	2.95757i	0.299781	+	0.173079i
$293$	−20.5199	−	11.8472i	−1.19879	−	0.692120i	−0.238502	−	0.971142i	$-0.576656\pi$
$293$	−20.5199	−	11.8472i	−1.19879	−	0.692120i	−0.960285	+	0.279022i	$0.909990\pi$
$294$	2.01197	−	6.96972i	0.117340	−	0.406483i
$295$	2.79235	+	4.83649i	0.162577	+	0.281591i
$296$	−3.65012			−0.212159
$297$	2.37160	+	0.784606i	0.137614	+	0.0455275i
$298$	5.25274			0.304283
$299$	−8.32947	+	10.2669i	−0.481706	+	0.593750i
$300$	−7.73185	−	2.23198i	−0.446399	−	0.128863i
$301$	−10.0438	−	5.79881i	−0.578917	−	0.334238i
$302$	5.96162	−	10.3258i	0.343053	−	0.594184i
$303$	2.41087	+	9.74331i	0.138501	+	0.559739i
$304$	0.416337	−	0.240372i	0.0238786	−	0.0137863i
$305$			4.64667i			0.266067i
$306$	6.27582	+	0.241528i	0.358765	+	0.0138073i
$307$		−	6.55237i		−	0.373963i	−0.982363	−	0.186982i	$-0.940129\pi$
$307$		−	6.55237i		−	0.373963i	0.982363	−	0.186982i	$-0.0598705\pi$
$308$	−0.403061	−	0.698121i	−0.0229665	−	0.0397792i
$309$	−2.13929	+	2.05854i	−0.121700	+	0.117106i
$310$	0.591065	+	0.341252i	0.0335702	+	0.0193818i
$311$	−12.7115	+	22.0169i	−0.720802	+	1.24847i	0.239876	+	0.970803i	$0.422893\pi$
$311$	−12.7115	+	22.0169i	−0.720802	+	1.24847i	−0.960679	+	0.277663i	$0.910440\pi$
$312$	−2.65447	+	5.65277i	−0.150280	+	0.320025i
$313$	−0.590728	−	1.02317i	−0.0333899	−	0.0578331i	0.848848	−	0.528638i	$-0.177297\pi$
$313$	−0.590728	−	1.02317i	−0.0333899	−	0.0578331i	−0.882237	+	0.470805i	$0.843964\pi$
$314$		−	12.3908i		−	0.699253i
$315$	−2.53162	−	1.59449i	−0.142641	−	0.0898394i
$316$	2.05790			0.115766
$317$	24.2009	−	13.9724i	1.35926	−	0.784769i	0.369735	−	0.929137i	$-0.379448\pi$
$317$	24.2009	−	13.9724i	1.35926	−	0.784769i	0.989524	+	0.144368i	$0.0461151\pi$
$318$	8.55118	−	2.11589i	0.479526	−	0.118653i
$319$	1.02701	+	0.592945i	0.0575016	+	0.0331985i
$320$	0.515076	+	0.297379i	0.0287936	+	0.0166240i
$321$	23.4673	+	6.77438i	1.30982	+	0.378109i
$322$	−3.07427	−	5.32479i	−0.171322	−	0.296739i
$323$		−	1.00643i		−	0.0559995i
$324$	8.97338	+	0.691715i	0.498521	+	0.0384286i
$325$	−5.98925	−	15.6451i	−0.332224	−	0.867835i
$326$	10.6814	+	18.5008i	0.591591	+	1.02466i
$327$	−8.81372	+	30.5319i	−0.487400	+	1.68842i
$328$	4.95502	−	8.58235i	0.273595	−	0.473881i
$329$	5.23253	−	9.06301i	0.288479	−	0.499660i
$330$	0.480741	−	0.118954i	0.0264639	−	0.00654819i
$331$	−21.3503	+	12.3266i	−1.17352	+	0.677530i	−0.954506	−	0.298193i	$-0.903616\pi$
$331$	−21.3503	+	12.3266i	−1.17352	+	0.677530i	−0.219010	+	0.975723i	$0.570283\pi$
$332$		−	11.0601i		−	0.607003i
$333$	−5.83583	+	9.26572i	−0.319802	+	0.507758i
$334$	−14.7356			−0.806294
$335$	4.27688	+	7.40778i	0.233671	+	0.404730i
$336$	−2.01380	−	2.09279i	−0.109862	−	0.114171i
$337$	7.63940	−	13.2318i	0.416145	−	0.720784i	−0.579403	−	0.815041i	$-0.696714\pi$
$337$	7.63940	−	13.2318i	0.416145	−	0.720784i	0.995548	+	0.0942571i	$0.0300476\pi$
$338$	−12.7208	+	2.67968i	−0.691922	+	0.145755i
$339$	25.3083	−	24.3530i	1.37456	−	1.32268i
$340$	1.07831	−	0.622560i	0.0584794	−	0.0337631i
$341$	0.551669			0.0298745
$342$	0.0554640	−	1.44117i	0.00299915	−	0.0779294i
$343$			18.7607i			1.01298i
$344$	5.98981	−	3.45822i	0.322949	−	0.186455i
$345$	3.66676	−	0.907297i	0.197412	−	0.0488472i
$346$	10.0881	+	5.82435i	0.542338	+	0.313119i
$347$	0.607688	−	1.05255i	0.0326224	−	0.0565036i	−0.849253	−	0.527986i	$-0.822947\pi$
$347$	0.607688	−	1.05255i	0.0326224	−	0.0565036i	0.881876	+	0.471482i	$0.156281\pi$
$348$	4.10497	+	1.18499i	0.220049	+	0.0635223i
$349$	3.30094	−	1.90580i	0.176695	−	0.102015i	−0.409044	−	0.912515i	$-0.634138\pi$
$349$	3.30094	−	1.90580i	0.176695	−	0.102015i	0.585739	+	0.810500i	$0.300804\pi$
$350$	7.79094			0.416443
$351$	10.1054	+	15.7760i	0.539386	+	0.842059i
$352$	0.480744			0.0256238
$353$	−17.3353	+	10.0086i	−0.922667	+	0.532702i	−0.884485	−	0.466569i	$-0.845490\pi$
$353$	−17.3353	+	10.0086i	−0.922667	+	0.532702i	−0.0381819	+	0.999271i	$0.512157\pi$
$354$	15.6257	+	4.51070i	0.830495	+	0.239741i
$355$	−1.93602	+	3.35329i	−0.102753	+	0.177974i
$356$	8.21616	+	4.74360i	0.435455	+	0.251410i
$357$	−5.90220	+	1.46043i	−0.312377	+	0.0772941i
$358$	0.776096	−	0.448079i	0.0410179	−	0.0236817i
$359$		−	9.96717i		−	0.526047i	−0.964789	−	0.263024i	$-0.915280\pi$
$359$		−	9.96717i		−	0.526047i	0.964789	−	0.263024i	$-0.0847197\pi$
$360$	1.57839	−	0.832053i	0.0831886	−	0.0438530i
$361$	18.7689			0.987836
$362$	−1.23141	+	0.710953i	−0.0647213	+	0.0373669i
$363$	−13.4404	+	12.9330i	−0.705436	+	0.678809i
$364$	0.951220	−	5.97056i	0.0498575	−	0.312942i
$365$	1.75904	−	3.04675i	0.0920723	−	0.159474i
$366$	9.38277	+	9.75081i	0.490445	+	0.509683i
$367$	−7.16334	−	12.4073i	−0.373923	−	0.647654i	0.616242	−	0.787557i	$-0.288654\pi$
$367$	−7.16334	−	12.4073i	−0.373923	−	0.647654i	−0.990165	+	0.139903i	$0.955321\pi$
$368$	3.66679			0.191144
$369$	−13.8639	−	26.2997i	−0.721727	−	1.36911i
$370$			2.17094i			0.112862i
$371$	−7.38560	+	4.26408i	−0.383441	+	0.221380i
$372$	1.92939	−	0.477406i	0.100034	−	0.0247523i
$373$	13.9877	−	24.2275i	0.724257	−	1.25445i	−0.235022	−	0.971990i	$-0.575516\pi$
$373$	13.9877	−	24.2275i	0.724257	−	1.25445i	0.959279	−	0.282460i	$-0.0911505\pi$
$374$	0.503217	−	0.871597i	0.0260207	−	0.0450692i
$375$	−2.75604	+	9.54727i	−0.142321	+	0.493019i
$376$	3.12051	+	5.40488i	0.160928	+	0.278736i
$377$	3.17979	+	8.30625i	0.163768	+	0.427794i
$378$	−8.53215	+	1.76600i	−0.438847	+	0.0908332i
$379$		−	4.05068i		−	0.208069i	−0.994574	−	0.104035i	$-0.966825\pi$
$379$		−	4.05068i		−	0.208069i	0.994574	−	0.104035i	$-0.0331753\pi$
$380$	−0.142963	−	0.247620i	−0.00733387	−	0.0127026i
$381$	30.8646	+	8.90977i	1.58124	+	0.456461i
$382$	−12.8524	−	7.42036i	−0.657588	−	0.379659i
$383$	27.1033	+	15.6481i	1.38492	+	0.799581i	0.992737	−	0.120308i	$-0.0383882\pi$
$383$	27.1033	+	15.6481i	1.38492	+	0.799581i	0.392179	+	0.919889i	$0.371721\pi$
$384$	1.68134	−	0.416029i	0.0858008	−	0.0212304i
$385$	−0.415213	+	0.239724i	−0.0211612	+	0.0122174i
$386$	−14.1075			−0.718054
$387$	0.797958	−	20.7340i	0.0405625	−	1.05397i
$388$			9.71535i			0.493222i
$389$	7.66964	+	13.2842i	0.388866	+	0.673536i	0.992297	−	0.123879i	$-0.0395335\pi$
$389$	7.66964	+	13.2842i	0.388866	+	0.673536i	−0.603431	+	0.797415i	$0.706200\pi$
$390$	3.36203	+	1.57877i	0.170243	+	0.0799441i
$391$	3.83819	−	6.64794i	0.194106	−	0.336201i
$392$	−3.62716	−	2.09414i	−0.183199	−	0.105770i
$393$	5.79746	−	5.57863i	0.292443	−	0.281405i
$394$	0.221259	+	0.383231i	0.0111468	+	0.0193069i
$395$		−	1.22395i		−	0.0615837i
$396$	0.768616	−	1.22035i	0.0386244	−	0.0613251i
$397$		−	24.1832i		−	1.21372i	−0.794808	−	0.606860i	$-0.792429\pi$
$397$		−	24.1832i		−	1.21372i	0.794808	−	0.606860i	$-0.207571\pi$
$398$	11.5117	−	6.64626i	0.577028	−	0.333147i
$399$	0.335370	+	1.35537i	0.0167895	+	0.0678532i
$400$	−2.32313	+	4.02378i	−0.116157	+	0.201189i
$401$	−24.8876	−	14.3689i	−1.24283	−	0.717548i	−0.273160	−	0.961969i	$-0.588069\pi$
$401$	−24.8876	−	14.3689i	−1.24283	−	0.717548i	−0.969669	+	0.244421i	$0.921402\pi$
$402$	23.9330	+	6.90880i	1.19367	+	0.344579i
$403$	3.21305	+	2.60673i	0.160054	+	0.129850i
$404$	5.79495			0.288310
$405$	0.411403	−	5.33699i	0.0204428	−	0.265197i
$406$	−4.13634			−0.205283
$407$	0.877388	+	1.51968i	0.0434905	+	0.0753278i
$408$	1.00567	−	3.48378i	0.0497882	−	0.172473i
$409$	25.9100	+	14.9591i	1.28117	+	0.739682i	0.977062	−	0.212956i	$-0.0683092\pi$
$409$	25.9100	+	14.9591i	1.28117	+	0.739682i	0.304105	+	0.952638i	$0.401643\pi$
$410$	−5.10442	−	2.94704i	−0.252090	−	0.145544i
$411$	−21.8923	+	5.41698i	−1.07987	+	0.267200i
$412$	0.857037	+	1.48443i	0.0422232	+	0.0731327i
$413$	−15.7451			−0.774764
$414$	5.86248	−	9.30802i	0.288125	−	0.457464i
$415$	−6.57809			−0.322906
$416$	2.79997	+	2.27160i	0.137280	+	0.111374i
$417$	−12.7061	+	12.2265i	−0.622218	+	0.598733i
$418$	−0.200152	−	0.115558i	−0.00978974	−	0.00565211i
$419$	−12.2858	+	21.2796i	−0.600200	+	1.03958i	0.392590	+	0.919713i	$0.371579\pi$
$419$	−12.2858	+	21.2796i	−0.600200	+	1.03958i	−0.992790	+	0.119863i	$0.961754\pi$
$420$	−1.24470	+	1.19772i	−0.0607354	+	0.0584429i
$421$	−24.6735	+	14.2452i	−1.20251	+	0.694271i	−0.961113	−	0.276155i	$-0.910940\pi$
$421$	−24.6735	+	14.2452i	−1.20251	+	0.694271i	−0.241399	+	0.970426i	$0.577606\pi$
$422$			9.64064i			0.469299i
$423$	18.7092	+	0.720034i	0.909673	+	0.0350092i
$424$		−	5.08592i		−	0.246994i
$425$	4.86345	+	8.42375i	0.235912	+	0.408612i
$426$	2.70847	+	10.9460i	0.131226	+	0.530337i
$427$	−11.3453	−	6.55024i	−0.549040	−	0.316988i
$428$	7.05105	−	12.2128i	0.340825	−	0.590327i
$429$	2.99152	−	0.253614i	0.144432	−	0.0122446i
$430$	−2.05681	−	3.56249i	−0.0991880	−	0.171799i
$431$			7.13767i			0.343809i	0.985114	+	0.171905i	$0.0549921\pi$
$431$			7.13767i			0.343809i	−0.985114	+	0.171905i	$0.945008\pi$
$432$	1.63207	−	4.93319i	0.0785228	−	0.237348i
$433$	−7.85282			−0.377382			−0.188691	−	0.982036i	$-0.560424\pi$
$433$	−7.85282			−0.377382			−0.188691	+	0.982036i	$0.560424\pi$
$434$	−1.66641	+	0.962100i	−0.0799901	+	0.0461823i
$435$	0.704784	−	2.44146i	0.0337918	−	0.117059i
$436$	15.8893	+	9.17368i	0.760959	+	0.439340i
$437$	−1.52662	−	0.881394i	−0.0730281	−	0.0421628i
$438$	−2.46087	−	9.94539i	−0.117585	−	0.475209i
$439$	2.07427	+	3.59274i	0.0989994	+	0.171472i	0.911271	−	0.411808i	$-0.135102\pi$
$439$	2.07427	+	3.59274i	0.0989994	+	0.171472i	−0.812271	+	0.583280i	$0.801769\pi$
$440$		−	0.285927i		−	0.0136310i
$441$	−11.1150	+	5.85930i	−0.529287	+	0.279014i
$442$	7.04930	−	2.69861i	0.335301	−	0.128360i
$443$	−8.92349	−	15.4559i	−0.423968	−	0.734334i	0.572356	−	0.820006i	$-0.306030\pi$
$443$	−8.92349	−	15.4559i	−0.423968	−	0.734334i	−0.996323	+	0.0856716i	$0.972696\pi$
$444$	4.38366	+	4.55562i	0.208039	+	0.216200i
$445$	2.82130	−	4.88663i	0.133742	−	0.231648i
$446$	−11.5666	+	20.0340i	−0.547696	+	0.948638i
$447$	−6.30835	−	6.55580i	−0.298375	−	0.310079i
$448$	−1.45217	+	0.838409i	−0.0686084	+	0.0396111i
$449$			19.7308i			0.931152i	0.885008	+	0.465576i	$0.154153\pi$
$449$			19.7308i			0.931152i	−0.885008	+	0.465576i	$0.845847\pi$
$450$	6.50001	+	12.3304i	0.306413	+	0.581262i
$451$	−4.76420			−0.224337
$452$	−10.1390	−	17.5612i	−0.476896	−	0.826009i
$453$	−20.0471	+	4.96041i	−0.941893	+	0.233060i
$454$	−6.65331	+	11.5239i	−0.312255	+	0.540842i
$455$	−3.55104	−	0.565746i	−0.166475	−	0.0265226i
$456$	−0.800008	−	0.230940i	−0.0374638	−	0.0108148i
$457$	31.4762	−	18.1728i	1.47240	−	0.850088i	0.472877	−	0.881128i	$-0.343216\pi$
$457$	31.4762	−	18.1728i	1.47240	−	0.850088i	0.999518	+	0.0310408i	$0.00988217\pi$
$458$	−0.809405			−0.0378210
$459$	−7.23559	−	8.12275i	−0.337729	−	0.379138i
$460$		−	2.18085i		−	0.101683i
$461$	19.8630	−	11.4679i	0.925112	−	0.534114i	0.0398498	−	0.999206i	$-0.487312\pi$
$461$	19.8630	−	11.4679i	0.925112	−	0.534114i	0.885262	+	0.465092i	$0.153979\pi$
$462$	−0.387245	+	1.34147i	−0.0180163	+	0.0624107i
$463$	25.6143	+	14.7884i	1.19040	+	0.687277i	0.958397	−	0.285438i	$-0.0921391\pi$
$463$	25.6143	+	14.7884i	1.19040	+	0.687277i	0.232002	+	0.972715i	$0.425472\pi$
$464$	1.23339	−	2.13629i	0.0572586	−	0.0991749i
$465$	−0.283941	−	1.14752i	−0.0131675	−	0.0532151i
$466$	13.3984	−	7.73559i	0.620671	−	0.358344i
$467$	−12.5970			−0.582920			−0.291460	−	0.956583i	$-0.594141\pi$
$467$	−12.5970			−0.582920			−0.291460	+	0.956583i	$0.594141\pi$
$468$	10.2430	−	3.47580i	0.473482	−	0.160669i
$469$	−24.1159			−1.11357
$470$	3.21460	−	1.85595i	0.148278	−	0.0856086i
$471$	−15.4646	+	14.8809i	−0.712572	+	0.685675i
$472$	4.69493	−	8.13185i	0.216101	−	0.374299i
$473$	−2.87957	−	1.66252i	−0.132403	−	0.0764428i
$474$	−2.47146	−	2.56841i	−0.113518	−	0.117971i
$475$	1.93441	−	1.11683i	0.0887568	−	0.0512438i
$476$			3.51040i			0.160899i
$477$	−12.9104	−	8.13139i	−0.591129	−	0.372311i
$478$	−29.1575			−1.33363
$479$	−11.0404	+	6.37417i	−0.504448	+	0.291243i	−0.730549	−	0.682861i	$-0.760736\pi$
$479$	−11.0404	+	6.37417i	−0.504448	+	0.291243i	0.226101	+	0.974104i	$0.427402\pi$
$480$	−0.247437	−	0.999994i	−0.0112939	−	0.0456433i
$481$	−2.07063	+	12.9968i	−0.0944126	+	0.592603i
$482$	−7.79735	+	13.5054i	−0.355159	+	0.615154i
$483$	−2.95364	+	10.2318i	−0.134395	+	0.465562i
$484$	5.38444	+	9.32613i	0.244747	+	0.423915i
$485$	5.77828			0.262378
$486$	−9.91339	−	12.0302i	−0.449681	−	0.545699i
$487$			20.8054i			0.942782i	0.881924	+	0.471391i	$0.156248\pi$
$487$			20.8054i			0.942782i	−0.881924	+	0.471391i	$0.843752\pi$
$488$	6.76599	−	3.90635i	0.306282	−	0.176832i
$489$	10.2623	−	35.5500i	0.464078	−	1.60763i
$490$	−1.24551	+	2.15728i	−0.0562663	+	0.0974561i
$491$	7.37362	−	12.7715i	0.332767	−	0.576369i	−0.650286	−	0.759689i	$-0.725351\pi$
$491$	7.37362	−	12.7715i	0.332767	−	0.576369i	0.983053	+	0.183320i	$0.0586844\pi$
$492$	−16.6622	+	4.12287i	−0.751190	+	0.185873i
$493$	−2.58209	−	4.47231i	−0.116291	−	0.201423i
$494$	−0.619702	−	1.61879i	−0.0278817	−	0.0728326i
$495$	−0.725816	−	0.457141i	−0.0326230	−	0.0205470i
$496$		−	1.14753i		−	0.0515256i
$497$	−5.45828	−	9.45402i	−0.244837	−	0.424071i
$498$	−13.8038	+	13.2828i	−0.618564	+	0.595216i
$499$	−25.7627	−	14.8741i	−1.15330	−	0.665856i	−0.203608	−	0.979053i	$-0.565267\pi$
$499$	−25.7627	−	14.8741i	−1.15330	−	0.665856i	−0.949688	+	0.313197i	$0.898600\pi$
$500$	4.96856	+	2.86860i	0.222201	+	0.128288i
$501$	17.6969	+	18.3910i	0.790638	+	0.821651i
$502$	2.42050	−	1.39748i	0.108032	−	0.0623724i
$503$	−26.1270			−1.16495			−0.582473	−	0.812850i	$-0.697915\pi$
$503$	−26.1270			−1.16495			−0.582473	+	0.812850i	$0.697915\pi$
$504$	−0.193456	+	5.02673i	−0.00861724	+	0.223908i
$505$		−	3.44660i		−	0.153372i
$506$	−0.881394	−	1.52662i	−0.0391827	−	0.0678665i
$507$	18.6217	+	12.6583i	0.827018	+	0.562176i
$508$	9.27366	−	16.0624i	0.411452	−	0.712656i
$509$	−15.4810	−	8.93795i	−0.686182	−	0.396168i	0.115998	−	0.993249i	$-0.462993\pi$
$509$	−15.4810	−	8.93795i	−0.686182	−	0.396168i	−0.802180	+	0.597082i	$0.796327\pi$
$510$	−2.07201	−	0.598132i	−0.0917500	−	0.0264857i
$511$	4.95931	+	8.58977i	0.219387	+	0.379989i
$512$		−	1.00000i		−	0.0441942i
$513$	−1.86529	+	1.66157i	−0.0823546	+	0.0733599i
$514$		−	20.9596i		−	0.924488i
$515$	0.882878	−	0.509730i	0.0389042	−	0.0224614i
$516$	−11.5097	−	3.32252i	−0.506685	−	0.146266i
$517$	1.50017	−	2.59837i	0.0659773	−	0.114276i
$518$	−5.30059	−	3.06029i	−0.232894	−	0.134462i
$519$	−4.84620	−	19.5855i	−0.212724	−	0.859707i
$520$	1.35105	−	1.66531i	0.0592476	−	0.0730285i
$521$	−13.7904			−0.604168			−0.302084	−	0.953281i	$-0.597682\pi$
$521$	−13.7904			−0.604168			−0.302084	+	0.953281i	$0.597682\pi$
$522$	−3.45096	−	6.54643i	−0.151045	−	0.286530i
$523$	−0.523640			−0.0228972			−0.0114486	−	0.999934i	$-0.503644\pi$
$523$	−0.523640			−0.0228972			−0.0114486	+	0.999934i	$0.503644\pi$
$524$	−2.32256	−	4.02280i	−0.101462	−	0.175737i
$525$	−9.35664	−	9.72366i	−0.408357	−	0.424375i
$526$	13.7251	+	7.92418i	0.598442	+	0.345511i
$527$	−2.08049	−	1.20117i	−0.0906276	−	0.0523239i
$528$	−0.577357	−	0.600004i	−0.0251262	−	0.0261118i
$529$	4.77734	+	8.27459i	0.207710	+	0.359765i
$530$	−3.02489			−0.131393
$531$	−13.1362	−	24.9192i	−0.570062	−	1.08140i
$532$	0.806121			0.0349498
$533$	−27.7478	−	22.5116i	−1.20189	−	0.975088i
$534$	−3.94695	−	15.9513i	−0.170801	−	0.690278i
$535$	−7.26365	−	4.19367i	−0.314035	−	0.181308i
$536$	7.19096	−	12.4551i	0.310602	−	0.537979i
$537$	−1.49130	−	0.430497i	−0.0643543	−	0.0185773i
$538$	−16.3703	+	9.45139i	−0.705773	+	0.407478i
$539$			2.01349i			0.0867273i
$540$	−2.93406	−	0.970684i	−0.126262	−	0.0417716i
$541$		−	11.3636i		−	0.488558i	−0.969705	−	0.244279i	$-0.921449\pi$
$541$		−	11.3636i		−	0.488558i	0.969705	−	0.244279i	$-0.0785513\pi$
$542$	4.81902	+	8.34679i	0.206995	+	0.358525i
$543$	2.36620	+	0.683057i	0.101543	+	0.0293128i
$544$	−1.81302	−	1.04675i	−0.0777324	−	0.0448788i
$545$	5.45612	−	9.45028i	0.233715	−	0.404806i
$546$	−8.59407	+	5.98323i	−0.367792	+	0.256059i
$547$	4.14239	+	7.17484i	0.177116	+	0.306774i	0.940892	−	0.338708i	$-0.109990\pi$
$547$	4.14239	+	7.17484i	0.177116	+	0.306774i	−0.763776	+	0.645482i	$0.776657\pi$
$548$			13.0207i			0.556216i
$549$	0.901360	−	23.4208i	0.0384691	−	0.999573i
$550$	2.23366			0.0952438
$551$	−1.02701	+	0.592945i	−0.0437521	+	0.0252603i
$552$	−4.40368	−	4.57642i	−0.187433	−	0.194785i
$553$	2.98841	+	1.72536i	0.127080	+	0.0733698i
$554$	2.33844	+	1.35010i	0.0993510	+	0.0573603i
$555$	2.70949	−	2.60722i	0.115011	−	0.110670i
$556$	5.09027	+	8.81661i	0.215876	+	0.373908i
$557$		−	26.7334i		−	1.13273i	−0.824154	−	0.566365i	$-0.808349\pi$
$557$		−	26.7334i		−	1.13273i	0.824154	−	0.566365i	$-0.191651\pi$
$558$	−2.91297	−	1.83468i	−0.123316	−	0.0776681i
$559$	−8.91562	−	23.2894i	−0.377090	−	0.985035i
$560$	0.498651	+	0.863688i	0.0210718	+	0.0364975i
$561$	−1.69216	+	0.418706i	−0.0714431	+	0.0176778i
$562$	−5.39719	+	9.34820i	−0.227667	+	0.394330i
$563$	−2.36071	+	4.08888i	−0.0994922	+	0.172326i	−0.911475	−	0.411356i	$-0.865055\pi$
$563$	−2.36071	+	4.08888i	−0.0994922	+	0.172326i	0.811982	+	0.583682i	$0.198389\pi$
$564$	2.99807	−	10.3857i	0.126241	−	0.437317i
$565$	−10.4447	+	6.03023i	−0.439410	+	0.253694i
$566$			29.2176i			1.22811i
$567$	12.4509	+	8.52785i	0.522889	+	0.358136i
$568$	6.51028			0.273165
$569$	21.0546	+	36.4676i	0.882653	+	1.52880i	0.848380	+	0.529388i	$0.177578\pi$
$569$	21.0546	+	36.4676i	0.882653	+	1.52880i	0.0342730	+	0.999413i	$0.489088\pi$
$570$	−0.137354	+	0.475811i	−0.00575311	+	0.0199295i
$571$	5.89219	−	10.2056i	0.246581	−	0.427090i	−0.715994	−	0.698106i	$-0.754026\pi$
$571$	5.89219	−	10.2056i	0.246581	−	0.427090i	0.962575	+	0.271016i	$0.0873597\pi$
$572$	0.272715	−	1.71176i	0.0114028	−	0.0715723i
$573$	6.17417	+	24.9524i	0.257930	+	1.04240i
$574$	14.3910	−	8.30867i	0.600671	−	0.346797i
$575$	17.0369			0.710486
$576$	−2.53847	−	1.59880i	−0.105770	−	0.0666169i
$577$			21.5466i			0.896997i	0.893784	+	0.448498i	$0.148041\pi$
$577$			21.5466i			0.896997i	−0.893784	+	0.448498i	$0.851959\pi$
$578$	10.9269	−	6.30865i	0.454499	−	0.262405i
$579$	16.9426	+	17.6072i	0.704111	+	0.731731i
$580$	−1.27058	−	0.733568i	−0.0527579	−	0.0304598i
$581$	9.27290	−	16.0611i	0.384705	−	0.666328i
$582$	12.1255	−	11.6678i	0.502617	−	0.483645i
$583$	−2.11746	+	1.22251i	−0.0876961	+	0.0506313i
$584$	−5.91514			−0.244770
$585$	−2.06726	−	6.09210i	−0.0854706	−	0.251877i
$586$	23.6944			0.978805
$587$	−7.62960	+	4.40495i	−0.314907	+	0.181812i	−0.649120	−	0.760686i	$-0.724863\pi$
$587$	−7.62960	+	4.40495i	−0.314907	+	0.181812i	0.334213	+	0.942498i	$0.391530\pi$
$588$	1.74245	+	7.04194i	0.0718573	+	0.290405i
$589$	−0.275834	+	0.477759i	−0.0113656	+	0.0196857i
$590$	−4.83649	−	2.79235i	−0.199115	−	0.114959i
$591$	0.212577	−	0.736393i	0.00874424	−	0.0302912i
$592$	3.16110	−	1.82506i	0.129920	−	0.0750095i
$593$			26.7483i			1.09842i	0.835685	+	0.549210i	$0.185071\pi$
$593$			26.7483i			1.09842i	−0.835685	+	0.549210i	$0.814929\pi$
$594$	−2.44617	+	0.506313i	−0.100368	+	0.0207743i
$595$	2.08784			0.0855931
$596$	−4.54901	+	2.62637i	−0.186335	+	0.107580i
$597$	−22.1201	−	6.38547i	−0.905316	−	0.261340i
$598$	2.08008	−	13.0561i	0.0850609	−	0.533905i
$599$	23.9224	−	41.4349i	0.977445	−	1.69298i	0.305825	−	0.952088i	$-0.401068\pi$
$599$	23.9224	−	41.4349i	0.977445	−	1.69298i	0.671620	−	0.740896i	$-0.265599\pi$
$600$	7.81197	−	1.93298i	0.318922	−	0.0789136i
$601$	10.5193	+	18.2199i	0.429091	+	0.743207i	0.996793	−	0.0800273i	$-0.0255008\pi$
$601$	10.5193	+	18.2199i	0.429091	+	0.743207i	−0.567702	+	0.823234i	$0.692167\pi$
$602$	11.5976			0.472683
$603$	−20.1200	−	38.1673i	−0.819348	−	1.55429i
$604$			11.9232i			0.485150i
$605$	5.54679	−	3.20244i	0.225509	−	0.130198i
$606$	−6.95953	−	7.23252i	−0.282712	−	0.293801i
$607$	−11.7683	+	20.3833i	−0.477662	+	0.827334i	−0.999672	−	0.0256049i	$-0.991849\pi$
$607$	−11.7683	+	20.3833i	−0.477662	+	0.827334i	0.522011	+	0.852939i	$0.325182\pi$
$608$	−0.240372	+	0.416337i	−0.00974838	+	0.0168847i
$609$	4.96759	+	5.16245i	0.201297	+	0.209193i
$610$	−2.32333	−	4.02413i	−0.0940690	−	0.162932i
$611$	21.0151	−	8.04497i	0.850179	−	0.325465i
$612$	−5.55579	+	2.92874i	−0.224579	+	0.118387i
$613$			40.7009i			1.64390i	0.569563	+	0.821948i	$0.307112\pi$
$613$			40.7009i			1.64390i	−0.569563	+	0.821948i	$0.692888\pi$
$614$	3.27618	+	5.67452i	0.132216	+	0.229005i
$615$	2.45211	+	9.90998i	0.0988786	+	0.399609i
$616$	0.698121	+	0.403061i	0.0281281	+	0.0162398i
$617$	34.0924	+	19.6832i	1.37251	+	0.792417i	0.991243	−	0.132049i	$-0.0421557\pi$
$617$	34.0924	+	19.6832i	1.37251	+	0.792417i	0.381264	+	0.924466i	$0.375489\pi$
$618$	0.823408	−	2.85239i	0.0331223	−	0.114740i
$619$	−21.1669	+	12.2207i	−0.850770	+	0.491192i	−0.860911	−	0.508756i	$-0.830105\pi$
$619$	−21.1669	+	12.2207i	−0.850770	+	0.491192i	0.0101406	+	0.999949i	$0.496772\pi$
$620$	−0.682503			−0.0274100
$621$	−18.6577	+	3.86180i	−0.748708	+	0.154969i
$622$		−	25.4230i		−	1.01937i
$623$	7.95416	+	13.7770i	0.318677	+	0.551964i
$624$	−0.527544	−	6.22268i	−0.0211187	−	0.249106i
$625$	−9.90953	+	17.1638i	−0.396381	+	0.686553i
$626$	1.02317	+	0.590728i	0.0408942	+	0.0236103i
$627$	0.0961506	+	0.388584i	0.00383989	+	0.0155186i
$628$	6.19540	+	10.7307i	0.247223	+	0.428203i
$629$		−	7.64149i		−	0.304686i
$630$	2.98969	+	0.115060i	0.119112	+	0.00458409i
$631$		−	5.70930i		−	0.227284i	−0.993522	−	0.113642i	$-0.963748\pi$
$631$		−	5.70930i		−	0.227284i	0.993522	−	0.113642i	$-0.0362516\pi$
$632$	−1.78219	+	1.02895i	−0.0708918	+	0.0409294i
$633$	12.0322	−	11.5781i	0.478238	−	0.460187i
$634$	−13.9724	+	24.2009i	−0.554915	+	0.961141i
$635$	−9.55327	−	5.51558i	−0.379110	−	0.218879i
$636$	−6.34760	+	6.10800i	−0.251699	+	0.242198i
$637$	−9.51409	+	11.7271i	−0.376962	+	0.464643i
$638$	−1.18589			−0.0469498
$639$	10.4087	−	16.5261i	0.411761	−	0.653764i
$640$	−0.594758			−0.0235099
$641$	−19.7411	−	34.1925i	−0.779725	−	1.35052i	−0.932100	−	0.362201i	$-0.882026\pi$
$641$	−19.7411	−	34.1925i	−0.779725	−	1.35052i	0.152375	−	0.988323i	$-0.451308\pi$
$642$	−23.7105	+	5.86688i	−0.935778	+	0.231547i
$643$	25.5467	+	14.7494i	1.00747	+	0.581660i	0.910449	−	0.413622i	$-0.135737\pi$
$643$	25.5467	+	14.7494i	1.00747	+	0.581660i	0.0970167	+	0.995283i	$0.469070\pi$
$644$	5.32479	+	3.07427i	0.209826	+	0.121143i
$645$	−1.97610	+	6.84547i	−0.0778088	+	0.269540i
$646$	0.503217	+	0.871597i	0.0197988	+	0.0342925i
$647$	47.5940			1.87111			0.935556	−	0.353178i	$-0.114899\pi$
$647$	47.5940			1.87111			0.935556	+	0.353178i	$0.114899\pi$
$648$	−8.11703	+	3.88765i	−0.318867	+	0.152721i
$649$	−4.51412			−0.177195
$650$	13.0094	+	10.5544i	0.510271	+	0.413979i
$651$	3.20206	+	0.924349i	0.125499	+	0.0362281i
$652$	−18.5008	−	10.6814i	−0.724548	−	0.418318i
$653$	−6.23738	+	10.8035i	−0.244088	+	0.422772i	−0.961875	−	0.273490i	$-0.911822\pi$
$653$	−6.23738	+	10.8035i	−0.244088	+	0.422772i	0.717787	+	0.696263i	$0.245155\pi$
$654$	−7.63303	−	30.8482i	−0.298475	−	1.20626i
$655$	−2.39259	+	1.38136i	−0.0934863	+	0.0539744i
$656$			9.91005i			0.386922i
$657$	−9.45715	+	15.0154i	−0.368959	+	0.585807i
$658$			10.4651i			0.407970i
$659$	−1.87306	−	3.24423i	−0.0729639	−	0.126377i	0.827235	−	0.561856i	$-0.189912\pi$
$659$	−1.87306	−	3.24423i	−0.0729639	−	0.126377i	−0.900199	+	0.435479i	$0.856579\pi$
$660$	−0.356857	+	0.343388i	−0.0138907	+	0.0133663i
$661$	−28.6397	−	16.5352i	−1.11396	−	0.643143i	−0.174105	−	0.984727i	$-0.555703\pi$
$661$	−28.6397	−	16.5352i	−1.11396	−	0.643143i	−0.939851	+	0.341584i	$0.889037\pi$
$662$	12.3266	−	21.3503i	0.479086	−	0.829801i
$663$	−11.8340	−	5.55711i	−0.459595	−	0.215820i
$664$	5.53006	+	9.57834i	0.214608	+	0.371712i
$665$		−	0.479447i		−	0.0185922i
$666$	0.421119	−	10.9423i	0.0163180	−	0.424004i
$667$	−9.04515			−0.350230
$668$	12.7614	−	7.36778i	0.493752	−	0.285068i
$669$	38.8950	−	9.62411i	1.50377	−	0.372090i
$670$	−7.40778	−	4.27688i	−0.286187	−	0.165230i
$671$	−3.25271	−	1.87796i	−0.125570	−	0.0724977i
$672$	2.79040	+	0.805511i	0.107642	+	0.0310733i
$673$	7.07178	+	12.2487i	0.272597	+	0.472152i	0.969526	−	0.244988i	$-0.0787840\pi$
$673$	7.07178	+	12.2487i	0.272597	+	0.472152i	−0.696929	+	0.717140i	$0.745451\pi$
$674$			15.2788i			0.588518i
$675$	7.58300	−	22.9209i	0.291870	−	0.882226i
$676$	9.67672	−	8.68108i	0.372181	−	0.333888i
$677$	17.1064	+	29.6291i	0.657451	+	1.13874i	0.981273	+	0.192620i	$0.0616986\pi$
$677$	17.1064	+	29.6291i	0.657451	+	1.13874i	−0.323823	+	0.946118i	$0.604968\pi$
$678$	−9.74112	+	33.7445i	−0.374105	+	1.29595i
$679$	−8.14544	+	14.1083i	−0.312593	+	0.541427i
$680$	−0.622560	+	1.07831i	−0.0238741	+	0.0413512i
$681$	22.3730	−	5.53594i	0.857335	−	0.212138i
$682$	−0.477759	+	0.275834i	−0.0182944	+	0.0105622i
$683$		−	16.3144i		−	0.624255i	−0.950040	−	0.312127i	$-0.898958\pi$
$683$		−	16.3144i		−	0.624255i	0.950040	−	0.312127i	$-0.101042\pi$
$684$	0.672550	+	1.27582i	0.0257156	+	0.0487822i
$685$	7.74416			0.295889
$686$	−9.38036	−	16.2473i	−0.358144	−	0.620323i
$687$	0.972066	+	1.01020i	0.0370866	+	0.0385414i
$688$	−3.45822	+	5.98981i	−0.131843	+	0.228359i
$689$	−18.1092	−	2.88512i	−0.689904	−	0.109914i
$690$	−2.72186	+	2.61912i	−0.103619	+	0.0997083i
$691$	21.9516	−	12.6738i	0.835078	−	0.482132i	−0.0205104	−	0.999790i	$-0.506529\pi$
$691$	21.9516	−	12.6738i	0.835078	−	0.482132i	0.855588	+	0.517657i	$0.173196\pi$
$692$	−11.6487			−0.442817
$693$	2.13932	−	1.12774i	0.0812659	−	0.0428395i
$694$			1.21538i			0.0461350i
$695$	5.24375	−	3.02748i	0.198907	−	0.114839i
$696$	−4.14750	+	1.02625i	−0.157211	+	0.0388999i
$697$	17.9671	+	10.3733i	0.680551	+	0.392916i
$698$	−1.90580	+	3.30094i	−0.0721355	+	0.124942i
$699$	−25.7456	−	7.43206i	−0.973789	−	0.281106i
$700$	−6.74715	+	3.89547i	−0.255018	+	0.147235i
$701$	35.4651			1.33950			0.669750	−	0.742587i	$-0.266401\pi$
$701$	35.4651			1.33950			0.669750	+	0.742587i	$0.266401\pi$
$702$	−16.6395	−	8.60969i	−0.628018	−	0.324952i
$703$	−1.75478			−0.0661826
$704$	−0.416337	+	0.240372i	−0.0156913	+	0.00905937i
$705$	−6.17698	−	1.78312i	−0.232638	−	0.0671564i
$706$	10.0086	−	17.3353i	0.376677	−	0.652424i
$707$	8.41524	+	4.85854i	0.316488	+	0.182724i
$708$	−15.7876	+	3.90645i	−0.593333	+	0.146813i
$709$	−18.7687	+	10.8361i	−0.704874	+	0.406959i	−0.809160	−	0.587588i	$-0.800077\pi$
$709$	−18.7687	+	10.8361i	−0.704874	+	0.406959i	0.104286	+	0.994547i	$0.466744\pi$
$710$		−	3.87204i		−	0.145315i
$711$	−0.237422	+	6.16913i	−0.00890403	+	0.231360i
$712$	−9.48720			−0.355548
$713$	−3.64402	+	2.10387i	−0.136470	+	0.0787907i
$714$	4.38124	−	4.21587i	0.163964	−	0.157775i
$715$	−1.01808	−	0.162200i	−0.0380742	−	0.00606592i
$716$	−0.448079	+	0.776096i	−0.0167455	+	0.0290041i
$717$	35.0171	+	36.3907i	1.30774	+	1.35903i
$718$	4.98359	+	8.63182i	0.185986	+	0.322137i
$719$	15.4819			0.577378			0.288689	−	0.957423i	$-0.406781\pi$
$719$	15.4819			0.577378			0.288689	+	0.957423i	$0.406781\pi$
$720$	−0.950902	+	1.50978i	−0.0354380	+	0.0562660i
$721$			2.87419i			0.107040i
$722$	−16.2543	+	9.38444i	−0.604924	+	0.349253i
$723$	26.2201	−	6.48784i	0.975135	−	0.241286i
$724$	0.710953	−	1.23141i	0.0264224	−	0.0457649i
$725$	5.73065	−	9.92578i	0.212831	−	0.368634i
$726$	5.17316	−	17.9205i	0.191994	−	0.665093i
$727$	2.73280	+	4.73335i	0.101354	+	0.175550i	0.912243	−	0.409650i	$-0.134349\pi$
$727$	2.73280	+	4.73335i	0.101354	+	0.175550i	−0.810889	+	0.585200i	$0.801016\pi$
$728$	2.16150	+	5.64626i	0.0801104	+	0.209264i
$729$	−3.10888	+	26.8204i	−0.115144	+	0.993349i
$730$			3.51808i			0.130210i
$731$	7.23975	+	12.5396i	0.267772	+	0.463794i
$732$	−13.0011	−	3.75307i	−0.480535	−	0.138717i
$733$	−16.5705	−	9.56700i	−0.612046	−	0.353365i	0.161720	−	0.986837i	$-0.448296\pi$
$733$	−16.5705	−	9.56700i	−0.612046	−	0.353365i	−0.773766	+	0.633472i	$0.781629\pi$
$734$	12.4073	+	7.16334i	0.457960	+	0.264404i
$735$	4.18825	−	1.03633i	0.154486	−	0.0382258i
$736$	−3.17553	+	1.83339i	−0.117052	+	0.0675798i
$737$	−6.91403			−0.254681
$738$	25.1563	+	15.8442i	0.926018	+	0.583234i
$739$			3.40317i			0.125188i	0.998039	+	0.0625938i	$0.0199373\pi$
$739$			3.40317i			0.125188i	−0.998039	+	0.0625938i	$0.980063\pi$
$740$	−1.08547	−	1.88009i	−0.0399027	−	0.0691134i
$741$	−1.27612	+	2.71754i	−0.0468795	+	0.0998312i
$742$	4.26408	−	7.38560i	0.156539	−	0.271134i
$743$	19.8454	+	11.4578i	0.728058	+	0.420345i	0.817711	−	0.575628i	$-0.195243\pi$
$743$	19.8454	+	11.4578i	0.728058	+	0.420345i	−0.0896532	+	0.995973i	$0.528576\pi$
$744$	−1.43220	+	1.37814i	−0.0525071	+	0.0505252i
$745$	1.56206	+	2.70556i	0.0572293	+	0.0991240i
$746$			27.9755i			1.02425i
$747$	33.1558	+	1.27602i	1.21311	+	0.0466871i
$748$			1.00643i			0.0367989i
$749$	20.4786	−	11.8233i	0.748272	−	0.432015i
$750$	−2.38684	−	9.64620i	−0.0871550	−	0.352229i
$751$	7.68694	−	13.3142i	0.280500	−	0.485841i	−0.691008	−	0.722847i	$-0.742833\pi$
$751$	7.68694	−	13.3142i	0.280500	−	0.485841i	0.971508	+	0.237006i	$0.0761663\pi$
$752$	−5.40488	−	3.12051i	−0.197096	−	0.113793i
$753$	−4.65109	−	1.34264i	−0.169495	−	0.0489286i
$754$	−6.90691	−	5.60353i	−0.251535	−	0.204069i
$755$	7.09144			0.258084
$756$	6.50606	−	5.79548i	0.236623	−	0.210779i
$757$	41.9292			1.52394			0.761971	−	0.647611i	$-0.224232\pi$
$757$	41.9292			1.52394			0.761971	+	0.647611i	$0.224232\pi$
$758$	2.02534	+	3.50799i	0.0735637	+	0.127416i
$759$	−0.846809	+	2.93346i	−0.0307372	+	0.106478i
$760$	0.247620	+	0.142963i	0.00898211	+	0.00518583i
$761$	2.20005	+	1.27020i	0.0797518	+	0.0460447i	0.539346	−	0.842085i	$-0.318672\pi$
$761$	2.20005	+	1.27020i	0.0797518	+	0.0460447i	−0.459594	+	0.888129i	$0.652005\pi$
$762$	−31.1844	+	7.71622i	−1.12969	+	0.279529i
$763$	15.3826	+	26.6434i	0.556887	+	0.964557i
$764$	14.8407			0.536918
$765$	1.74189	+	3.30435i	0.0629783	+	0.119469i
$766$	−31.2962			−1.13078
$767$	−26.2913	−	21.3300i	−0.949324	−	0.770181i
$768$	−1.24807	+	1.20096i	−0.0450359	+	0.0433361i
$769$	−8.65130	−	4.99483i	−0.311974	−	0.180118i	0.335836	−	0.941921i	$-0.390981\pi$
$769$	−8.65130	−	4.99483i	−0.311974	−	0.180118i	−0.647809	+	0.761802i	$0.724315\pi$
$770$	0.239724	−	0.415213i	0.00863904	−	0.0149633i
$771$	−26.1591	+	25.1717i	−0.942097	+	0.906538i
$772$	12.2175	−	7.05376i	0.439716	−	0.253870i
$773$		−	5.76343i		−	0.207296i	−0.994614	−	0.103648i	$-0.966948\pi$
$773$		−	5.76343i		−	0.207296i	0.994614	−	0.103648i	$-0.0330516\pi$
$774$	9.67593	+	18.3551i	0.347794	+	0.659761i
$775$		−	5.33173i		−	0.191521i
$776$	−4.85767	−	8.41374i	−0.174380	−	0.302036i
$777$	2.54634	+	10.2908i	0.0913495	+	0.369181i
$778$	−13.2842	−	7.66964i	−0.476262	−	0.274970i
$779$	2.38210	−	4.12592i	0.0853476	−	0.147826i
$780$	−3.70099	+	0.313761i	−0.132517	+	0.0112344i
$781$	−1.56489	−	2.71047i	−0.0559962	−	0.0969883i
$782$			7.67638i			0.274507i
$783$	−4.02594	+	12.1691i	−0.143875	+	0.434888i
$784$	4.18828			0.149581
$785$	6.38220	−	3.68476i	0.227790	−	0.131515i
$786$	−2.23143	+	7.72996i	−0.0795925	+	0.275719i
$787$	8.20657	+	4.73806i	0.292533	+	0.168894i	0.639083	−	0.769137i	$-0.279314\pi$
$787$	8.20657	+	4.73806i	0.292533	+	0.168894i	−0.346551	+	0.938031i	$0.612647\pi$
$788$	−0.383231	−	0.221259i	−0.0136520	−	0.00788201i
$789$	−6.59338	−	26.6466i	−0.234731	−	0.948643i
$790$	0.611976	+	1.05997i	0.0217731	+	0.0377122i
$791$		−	34.0024i		−	1.20899i
$792$	−0.0554640	+	1.44117i	−0.00197083	+	0.0512096i
$793$	−10.0709	−	26.3073i	−0.357629	−	0.934199i
$794$	12.0916	+	20.9433i	0.429115	+	0.743249i
$795$	3.63279	+	3.77529i	0.128842	+	0.133896i
$796$	−6.64626	+	11.5117i	−0.235571	+	0.408020i
$797$	1.54871	−	2.68245i	0.0548582	−	0.0950171i	−0.837292	−	0.546756i	$-0.815863\pi$
$797$	1.54871	−	2.68245i	0.0548582	−	0.0950171i	0.892150	+	0.451739i	$0.149196\pi$
$798$	−0.968122	−	1.00610i	−0.0342712	−	0.0356155i
$799$	−11.3151	+	6.53276i	−0.400298	+	0.231112i
$800$		−	4.64626i		−	0.164270i
$801$	−15.1682	+	24.0830i	−0.535941	+	0.850930i
$802$	28.7378			1.01477
$803$	1.42184	+	2.46269i	0.0501755	+	0.0869065i
$804$	−24.1810	+	5.98329i	−0.852797	+	0.211015i
$805$	1.82845	−	3.16696i	0.0644442	−	0.111621i
$806$	−4.08595	−	0.650967i	−0.143921	−	0.0229294i
$807$	31.4561	+	9.08053i	1.10731	+	0.319650i
$808$	−5.01858	+	2.89748i	−0.176553	+	0.101933i
$809$	18.7613			0.659612			0.329806	−	0.944049i	$-0.393017\pi$
$809$	18.7613			0.659612			0.329806	+	0.944049i	$0.393017\pi$
$810$	2.31221	+	4.82767i	0.0812428	+	0.169627i
$811$			35.6282i			1.25108i	0.780193	+	0.625538i	$0.215121\pi$
$811$			35.6282i			1.25108i	−0.780193	+	0.625538i	$0.784879\pi$
$812$	3.58217	−	2.06817i	0.125710	−	0.0725785i
$813$	4.62993	−	16.0387i	0.162379	−	0.562501i
$814$	−1.51968	−	0.877388i	−0.0532648	−	0.0307524i
$815$	−6.35288	+	11.0035i	−0.222532	+	0.385436i
$816$	0.870952	+	3.51988i	0.0304894	+	0.123220i
$817$	2.87957	−	1.66252i	0.100743	−	0.0581642i
$818$	−29.9183			−1.04607
$819$	17.7887	+	3.54038i	0.621587	+	0.123711i
$820$	5.89408			0.205830
$821$	13.3975	−	7.73506i	0.467577	−	0.269956i	−0.247648	−	0.968850i	$-0.579658\pi$
$821$	13.3975	−	7.73506i	0.467577	−	0.269956i	0.715225	+	0.698894i	$0.246324\pi$
$822$	16.2508	−	15.6374i	0.566810	−	0.545416i
$823$	4.04000	−	6.99748i	0.140825	−	0.243917i	−0.786982	−	0.616976i	$-0.788358\pi$
$823$	4.04000	−	6.99748i	0.140825	−	0.243917i	0.927808	+	0.373059i	$0.121691\pi$
$824$	−1.48443	−	0.857037i	−0.0517126	−	0.0298563i
$825$	−2.68255	−	2.78778i	−0.0933944	−	0.0970579i
$826$	13.6356	−	7.87254i	0.474444	−	0.273921i
$827$		−	27.7387i		−	0.964569i	−0.876015	−	0.482284i	$-0.839807\pi$
$827$		−	27.7387i		−	0.964569i	0.876015	−	0.482284i	$-0.160193\pi$
$828$	−0.423041	+	10.9922i	−0.0147017	+	0.382006i
$829$	−38.2112			−1.32713			−0.663566	−	0.748118i	$-0.730958\pi$
$829$	−38.2112			−1.32713			−0.663566	+	0.748118i	$0.730958\pi$
$830$	5.69680	−	3.28905i	0.197739	−	0.114164i
$831$	−1.12336	−	4.53997i	−0.0389690	−	0.157490i
$832$	−3.56065	−	0.567277i	−0.123443	−	0.0196668i
$833$	4.38406	−	7.59342i	0.151899	−	0.263096i
$834$	4.89054	−	16.9415i	0.169345	−	0.586635i
$835$	−4.38205	−	7.58993i	−0.151647	−	0.262660i
$836$	0.231115			0.00799329
$837$	1.20856	+	5.83898i	0.0417740	+	0.201825i
$838$		−	24.5716i		−	0.848811i
$839$	−32.5035	+	18.7659i	−1.12215	+	0.647872i	−0.941948	−	0.335758i	$-0.891007\pi$
$839$	−32.5035	+	18.7659i	−1.12215	+	0.647872i	−0.180199	+	0.983630i	$0.557674\pi$
$840$	0.479084	−	1.65961i	0.0165300	−	0.0572620i
$841$	11.4575	−	19.8450i	0.395086	−	0.684310i
$842$	14.2452	−	24.6735i	0.490924	−	0.850305i
$843$	18.1491	−	4.49077i	0.625087	−	0.154670i
$844$	−4.82032	−	8.34904i	−0.165922	−	0.287386i
$845$	−5.16314	−	5.75531i	−0.177618	−	0.197989i
$846$	−16.5627	+	8.73104i	−0.569436	+	0.300179i
$847$			18.0575i			0.620462i
$848$	2.54296	+	4.40453i	0.0873256	+	0.151252i
$849$	36.4657	−	35.0893i	1.25150	−	1.20426i
$850$	−8.42375	−	4.86345i	−0.288932	−	0.166815i
$851$	−11.5911	−	6.69211i	−0.397337	−	0.229402i
$852$	−7.81861	−	8.12531i	−0.267861	−	0.278368i
$853$	−43.2259	+	24.9565i	−1.48003	+	0.854493i	−0.999744	−	0.0226214i	$-0.992799\pi$
$853$	−43.2259	+	24.9565i	−1.48003	+	0.854493i	−0.480281	+	0.877114i	$0.659465\pi$
$854$	13.1005			0.448289
$855$	0.758804	−	0.400005i	0.0259505	−	0.0136799i
$856$			14.1021i			0.482000i
$857$	−4.36496	−	7.56033i	−0.149104	−	0.258256i	0.781792	−	0.623539i	$-0.214306\pi$
$857$	−4.36496	−	7.56033i	−0.149104	−	0.258256i	−0.930897	+	0.365283i	$0.880972\pi$
$858$	−2.46392	+	1.71539i	−0.0841169	+	0.0585626i
$859$	−15.7588	+	27.2950i	−0.537683	+	0.931294i	0.461345	+	0.887221i	$0.347367\pi$
$859$	−15.7588	+	27.2950i	−0.537683	+	0.931294i	−0.999028	+	0.0440737i	$0.985966\pi$
$860$	3.56249	+	2.05681i	0.121480	+	0.0701365i
$861$	−27.6530	−	7.98265i	−0.942410	−	0.272048i
$862$	−3.56883	−	6.18140i	−0.121555	−	0.210539i
$863$		−	34.0790i		−	1.16006i	−0.814594	−	0.580031i	$-0.803040\pi$
$863$		−	34.0790i		−	1.16006i	0.814594	−	0.580031i	$-0.196960\pi$
$864$	1.05318	+	5.08830i	0.0358301	+	0.173107i
$865$			6.92816i			0.235564i
$866$	6.80074	−	3.92641i	0.231098	−	0.133425i
$867$	−20.9965	−	6.06111i	−0.713077	−	0.205846i
$868$	0.962100	−	1.66641i	0.0326558	−	0.0565615i
$869$	0.856779	+	0.494662i	0.0290642	+	0.0167803i
$870$	0.610371	+	2.46676i	0.0206935	+	0.0836311i
$871$	−40.2690	−	32.6700i	−1.36446	−	1.10698i
$872$	−18.3474			−0.621320
$873$	−29.1245	−	1.12087i	−0.985714	−	0.0379357i
$874$	1.76279			0.0596272
$875$	4.81012	+	8.33137i	0.162612	+	0.281652i
$876$	7.10387	+	7.38253i	0.240018	+	0.249432i
$877$	−7.79128	−	4.49830i	−0.263093	−	0.151897i	0.362652	−	0.931925i	$-0.381871\pi$
$877$	−7.79128	−	4.49830i	−0.263093	−	0.151897i	−0.625745	+	0.780028i	$0.715205\pi$
$878$	−3.59274	−	2.07427i	−0.121249	−	0.0700031i
$879$	−28.4561	−	29.5723i	−0.959799	−	0.997448i
$880$	0.142963	+	0.247620i	0.00481929	+	0.00834726i
$881$	−40.3722			−1.36017			−0.680086	−	0.733132i	$-0.738058\pi$
$881$	−40.3722			−1.36017			−0.680086	+	0.733132i	$0.738058\pi$
$882$	6.69624	−	10.6318i	0.225474	−	0.357992i
$883$	32.2736			1.08609			0.543046	−	0.839703i	$-0.317271\pi$
$883$	32.2736			1.08609			0.543046	+	0.839703i	$0.317271\pi$
$884$	−4.75557	+	5.86171i	−0.159947	+	0.197151i
$885$	2.32339	+	9.38979i	0.0781000	+	0.315634i
$886$	15.4559	+	8.92349i	0.519253	+	0.299791i
$887$	−26.8247	+	46.4617i	−0.900685	+	1.56003i	−0.0740786	+	0.997252i	$0.523602\pi$
$887$	−26.8247	+	46.4617i	−0.900685	+	1.56003i	−0.826607	+	0.562780i	$0.809732\pi$
$888$	−6.07417	−	1.75345i	−0.203836	−	0.0588419i
$889$	26.9338	−	15.5502i	0.903331	−	0.521538i
$890$			5.64259i			0.189140i
$891$	3.56968	+	2.44494i	0.119589	+	0.0819085i
$892$		−	23.1333i		−	0.774559i
$893$	1.50017	+	2.59837i	0.0502012	+	0.0869510i
$894$	8.74109	+	2.52331i	0.292346	+	0.0843923i
$895$	0.461589	+	0.266499i	0.0154292	+	0.00890807i
$896$	0.838409	−	1.45217i	0.0280093	−	0.0485135i
$897$	−18.7931	+	13.0838i	−0.627483	+	0.436857i
$898$	−9.86538	−	17.0873i	−0.329212	−	0.570212i
$899$			2.83070i			0.0944092i
$900$	−11.7944	−	7.42847i	−0.393146	−	0.247616i
$901$	10.6473			0.354714
$902$	4.12592	−	2.38210i	0.137378	−	0.0793152i
$903$	−13.9283	−	14.4747i	−0.463505	−	0.481687i
$904$	17.5612	+	10.1390i	0.584076	+	0.337217i
$905$	−0.732390	−	0.422845i	−0.0243455	−	0.0140559i
$906$	14.8811	−	14.3194i	0.494390	−	0.475729i
$907$	−22.1018	−	38.2814i	−0.733878	−	1.27111i	−0.955214	−	0.295916i	$-0.904375\pi$
$907$	−22.1018	−	38.2814i	−0.733878	−	1.27111i	0.221336	−	0.975198i	$-0.428958\pi$
$908$		−	13.3066i		−	0.441595i
$909$	−0.668571	+	17.3720i	−0.0221751	+	0.576193i
$910$	3.35816	−	1.28557i	0.111322	−	0.0426162i
$911$	−27.4816	−	47.5996i	−0.910508	−	1.57705i	−0.813349	−	0.581776i	$-0.802358\pi$
$911$	−27.4816	−	47.5996i	−0.910508	−	1.57705i	−0.0971588	−	0.995269i	$-0.530975\pi$
$912$	0.808297	−	0.200004i	0.0267654	−	0.00662278i
$913$	2.65854	−	4.60473i	0.0879850	−	0.152394i
$914$	−18.1728	+	31.4762i	−0.601103	+	1.04114i
$915$	−2.23217	+	7.73252i	−0.0737932	+	0.255629i
$916$	0.700965	−	0.404702i	0.0231605	−	0.0133717i
$917$		−	7.78903i		−	0.257217i
$918$	10.3276	+	3.41671i	0.340861	+	0.112768i
$919$	−21.0595			−0.694690			−0.347345	−	0.937737i	$-0.612917\pi$
$919$	−21.0595			−0.694690			−0.347345	+	0.937737i	$0.612917\pi$
$920$	1.09043	+	1.88867i	0.0359503	+	0.0622677i
$921$	3.14763	−	10.9038i	0.103718	−	0.359293i
$922$	−11.4679	+	19.8630i	−0.377676	+	0.654153i
$923$	3.69313	−	23.1808i	0.121561	−	0.763006i
$924$	−0.335370	−	1.35537i	−0.0110329	−	0.0445883i
$925$	14.6873	−	8.47971i	0.482915	−	0.278811i
$926$	−29.5769			−0.971957
$927$	−4.54888	+	2.39795i	−0.149405	+	0.0787589i
$928$			2.46678i			0.0809760i
$929$	−17.8307	+	10.2945i	−0.585006	+	0.337753i	−0.763120	−	0.646257i	$-0.776334\pi$
$929$	−17.8307	+	10.2945i	−0.585006	+	0.337753i	0.178115	+	0.984010i	$0.443000\pi$
$930$	0.819662	+	0.851814i	0.0268778	+	0.0279321i
$931$	−1.74374	−	1.00675i	−0.0571486	−	0.0329948i
$932$	−7.73559	+	13.3984i	−0.253388	+	0.438881i
$933$	−31.7297	+	30.5321i	−1.03878	+	0.999575i
$934$	10.9093	−	6.29851i	0.356964	−	0.206093i
$935$	0.598585			0.0195758
$936$	−7.13279	+	8.13162i	−0.233143	+	0.265790i
$937$	−23.8463			−0.779023			−0.389512	−	0.921022i	$-0.627356\pi$
$937$	−23.8463			−0.779023			−0.389512	+	0.921022i	$0.627356\pi$
$938$	20.8849	−	12.0579i	0.681918	−	0.393705i
$939$	−0.491520	−	1.98644i	−0.0160402	−	0.0648249i
$940$	−1.85595	+	3.21460i	−0.0605344	+	0.104849i
$941$	3.16693	+	1.82843i	0.103239	+	0.0596051i	0.550731	−	0.834683i	$-0.314349\pi$
$941$	3.16693	+	1.82843i	0.103239	+	0.0596051i	−0.447492	+	0.894288i	$0.647683\pi$
$942$	5.95230	−	20.6195i	0.193936	−	0.671821i
$943$	31.4696	−	18.1690i	1.02479	−	0.591664i
$944$			9.38985i			0.305614i
$945$	−3.44691	−	3.86953i	−0.112128	−	0.125876i
$946$	3.32504			0.108106
$947$	−17.6910	+	10.2139i	−0.574879	+	0.331907i	−0.759096	−	0.650979i	$-0.774359\pi$
$947$	−17.6910	+	10.2139i	−0.574879	+	0.331907i	0.184217	+	0.982886i	$0.441025\pi$
$948$	3.42455	+	0.988575i	0.111224	+	0.0321074i
$949$	−3.35552	+	21.0617i	−0.108925	+	0.683692i
$950$	−1.11683	+	1.93441i	−0.0362348	+	0.0627606i
$951$	46.9849	−	11.6259i	1.52359	−	0.376994i
$952$	−1.75520	−	3.04010i	−0.0568864	−	0.0985301i
$953$	−40.9906			−1.32782			−0.663908	−	0.747814i	$-0.731104\pi$
$953$	−40.9906			−1.32782			−0.663908	+	0.747814i	$0.731104\pi$
$954$	15.2465	+	0.586768i	0.493623	+	0.0189973i
$955$		−	8.82664i		−	0.285623i
$956$	25.2511	−	14.5788i	0.816680	−	0.471510i
$957$	1.42421	+	1.48008i	0.0460382	+	0.0478441i
$958$	6.37417	−	11.0404i	0.205940	−	0.356699i
$959$	−10.9167	+	18.9082i	−0.352517	+	0.610578i
$960$	0.714283	+	0.742302i	0.0230534	+	0.0239577i
$961$	−14.8416	−	25.7064i	−0.478761	−	0.829238i
$962$	−4.70518	−	12.2909i	−0.151701	−	0.396273i
$963$	35.7977	+	22.5465i	1.15357	+	0.726551i
$964$		−	15.5947i		−	0.502271i
$965$	−4.19528	−	7.26644i	−0.135051	−	0.233915i
$966$	−2.55797	−	10.3378i	−0.0823013	−	0.332613i
$967$	−3.24755	−	1.87497i	−0.104434	−	0.0602951i	0.446873	−	0.894597i	$-0.352538\pi$
$967$	−3.24755	−	1.87497i	−0.104434	−	0.0602951i	−0.551307	+	0.834302i	$0.685871\pi$
$968$	−9.32613	−	5.38444i	−0.299753	−	0.173063i
$969$	0.483471	−	1.67481i	0.0155313	−	0.0538026i
$970$	−5.00414	+	2.88914i	−0.160673	+	0.0927648i
$971$	−48.6853			−1.56239			−0.781193	−	0.624289i	$-0.785389\pi$
$971$	−48.6853			−1.56239			−0.781193	+	0.624289i	$0.785389\pi$
$972$	14.6003	+	5.46172i	0.468306	+	0.175185i
$973$			17.0709i			0.547269i
$974$	−10.4027	−	18.0180i	−0.333324	−	0.577334i
$975$	−2.45111	−	28.9122i	−0.0784982	−	0.925931i
$976$	−3.90635	+	6.76599i	−0.125039	+	0.216574i
$977$	19.1946	+	11.0820i	0.614091	+	0.354546i	0.774565	−	0.632495i	$-0.217969\pi$
$977$	19.1946	+	11.0820i	0.614091	+	0.354546i	−0.160474	+	0.987040i	$0.551302\pi$
$978$	8.88758	+	35.9184i	0.284193	+	1.14854i
$979$	2.28046	+	3.94987i	0.0728838	+	0.126238i
$980$		−	2.49101i		−	0.0795725i
$981$	−29.3338	+	46.5742i	−0.936558	+	1.48700i
$982$			14.7472i			0.470604i
$983$	−48.6127	+	28.0665i	−1.55050	+	0.895183i	−0.552403	+	0.833577i	$0.686289\pi$
$983$	−48.6127	+	28.0665i	−1.55050	+	0.895183i	−0.998101	+	0.0616059i	$0.980378\pi$
$984$	12.3685	−	11.9016i	0.394292	−	0.379409i
$985$	−0.131595	+	0.227930i	−0.00419298	+	0.00726245i
$986$	4.47231	+	2.58209i	0.142427	+	0.0822304i
$987$	13.0612	−	12.5682i	0.415741	−	0.400049i
$988$	1.34607	+	1.09206i	0.0428242	+	0.0347430i
$989$	25.3611			0.806436
$990$	0.857146	+	0.0329877i	0.0272419	+	0.00104842i
$991$	36.3755			1.15551			0.577753	−	0.816212i	$-0.303930\pi$
$991$	36.3755			1.15551			0.577753	+	0.816212i	$0.303930\pi$
$992$	0.573765	+	0.993791i	0.0182171	+	0.0315529i
$993$	−41.4504	+	10.2564i	−1.31539	+	0.325478i
$994$	9.45402	+	5.45828i	0.299863	+	0.173126i
$995$	6.84666	+	3.95292i	0.217054	+	0.125316i
$996$	5.31307	−	18.4052i	0.168351	−	0.583190i
$997$	−28.6738	−	49.6644i	−0.908107	−	1.57289i	−0.816691	−	0.577076i	$-0.804194\pi$
$997$	−28.6738	−	49.6644i	−0.908107	−	1.57289i	−0.0914167	−	0.995813i	$-0.529140\pi$
$998$	29.7482			0.941662
$999$	−14.1625	+	12.6157i	−0.448081	+	0.399142i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	234.2.t.a.103.7	yes	28
3.2	odd	2		702.2.t.a.415.12		28
9.2	odd	6		702.2.t.a.181.3		28
9.4	even	3		2106.2.b.c.649.5		14
9.5	odd	6		2106.2.b.d.649.10		14
9.7	even	3	inner	234.2.t.a.25.14	yes	28
13.12	even	2	inner	234.2.t.a.103.14	yes	28
39.38	odd	2		702.2.t.a.415.3		28
117.25	even	6	inner	234.2.t.a.25.7	✓	28
117.38	odd	6		702.2.t.a.181.12		28
117.77	odd	6		2106.2.b.d.649.5		14
117.103	even	6		2106.2.b.c.649.10		14

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
234.2.t.a.25.7	✓	28	117.25	even	6	inner
234.2.t.a.25.14	yes	28	9.7	even	3	inner
234.2.t.a.103.7	yes	28	1.1	even	1	trivial
234.2.t.a.103.14	yes	28	13.12	even	2	inner
702.2.t.a.181.3		28	9.2	odd	6
702.2.t.a.181.12		28	117.38	odd	6
702.2.t.a.415.3		28	39.38	odd	2
702.2.t.a.415.12		28	3.2	odd	2
2106.2.b.c.649.5		14	9.4	even	3
2106.2.b.c.649.10		14	117.103	even	6
2106.2.b.d.649.5		14	117.77	odd	6
2106.2.b.d.649.10		14	9.5	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 234 = 2 \cdot 3^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	234.t (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 + 0.500000i) q^{2} +(1.66410 + 0.480381i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.515076 - 0.297379i) q^{5} +(-1.68134 + 0.416029i) q^{6} +(1.45217 - 0.838409i) q^{7} +1.00000i q^{8} +(2.53847 + 1.59880i) q^{9} +0.594758 q^{10} +(0.416337 - 0.240372i) q^{11} +(1.24807 - 1.20096i) q^{12} +(3.56065 + 0.567277i) q^{13} +(-0.838409 + 1.45217i) q^{14} +(-0.714283 - 0.742302i) q^{15} +(-0.500000 - 0.866025i) q^{16} -2.09349 q^{17} +(-2.99778 - 0.115371i) q^{18} +0.480744i q^{19} +(-0.515076 + 0.297379i) q^{20} +(2.81931 - 0.697605i) q^{21} +(-0.240372 + 0.416337i) q^{22} +(-1.83339 + 3.17553i) q^{23} +(-0.480381 + 1.66410i) q^{24} +(-2.32313 - 4.02378i) q^{25} +(-3.36725 + 1.28905i) q^{26} +(3.45624 + 3.88001i) q^{27} -1.67682i q^{28} +(1.23339 + 2.13629i) q^{29} +(0.989738 + 0.285710i) q^{30} +(0.993791 + 0.573765i) q^{31} +(0.866025 + 0.500000i) q^{32} +(0.808297 - 0.200004i) q^{33} +(1.81302 - 1.04675i) q^{34} -0.997301 q^{35} +(2.65384 - 1.39898i) q^{36} +3.65012i q^{37} +(-0.240372 - 0.416337i) q^{38} +(5.65277 + 2.65447i) q^{39} +(0.297379 - 0.515076i) q^{40} +(-8.58235 - 4.95502i) q^{41} +(-2.09279 + 2.01380i) q^{42} +(-3.45822 - 5.98981i) q^{43} -0.480744i q^{44} +(-0.832053 - 1.57839i) q^{45} -3.66679i q^{46} +(5.40488 - 3.12051i) q^{47} +(-0.416029 - 1.68134i) q^{48} +(-2.09414 + 3.62716i) q^{49} +(4.02378 + 2.32313i) q^{50} +(-3.48378 - 1.00567i) q^{51} +(2.27160 - 2.79997i) q^{52} -5.08592 q^{53} +(-4.93319 - 1.63207i) q^{54} -0.285927 q^{55} +(0.838409 + 1.45217i) q^{56} +(-0.230940 + 0.800008i) q^{57} +(-2.13629 - 1.23339i) q^{58} +(-8.13185 - 4.69493i) q^{59} +(-0.999994 + 0.247437i) q^{60} +(-3.90635 - 6.76599i) q^{61} -1.14753 q^{62} +(5.02673 + 0.193456i) q^{63} -1.00000 q^{64} +(-1.66531 - 1.35105i) q^{65} +(-0.600004 + 0.577357i) q^{66} +(-12.4551 - 7.19096i) q^{67} +(-1.04675 + 1.81302i) q^{68} +(-4.57642 + 4.40368i) q^{69} +(0.863688 - 0.498651i) q^{70} -6.51028i q^{71} +(-1.59880 + 2.53847i) q^{72} +5.91514i q^{73} +(-1.82506 - 3.16110i) q^{74} +(-1.93298 - 7.81197i) q^{75} +(0.416337 + 0.240372i) q^{76} +(0.403061 - 0.698121i) q^{77} +(-6.22268 + 0.527544i) q^{78} +(1.02895 + 1.78219i) q^{79} +0.594758i q^{80} +(3.88765 + 8.11703i) q^{81} +9.91005 q^{82} +(9.57834 - 5.53006i) q^{83} +(0.805511 - 2.79040i) q^{84} +(1.07831 + 0.622560i) q^{85} +(5.98981 + 3.45822i) q^{86} +(1.02625 + 4.14750i) q^{87} +(0.240372 + 0.416337i) q^{88} +9.48720i q^{89} +(1.50978 + 0.950902i) q^{90} +(5.64626 - 2.16150i) q^{91} +(1.83339 + 3.17553i) q^{92} +(1.37814 + 1.43220i) q^{93} +(-3.12051 + 5.40488i) q^{94} +(0.142963 - 0.247620i) q^{95} +(1.20096 + 1.24807i) q^{96} +(-8.41374 + 4.85767i) q^{97} -4.18828i q^{98} +(1.44117 + 0.0554640i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q + 14 q^{4} - 16 q^{9} + 2 q^{13} + 8 q^{14} - 14 q^{16} + 16 q^{17} - 8 q^{23} + 14 q^{25} + 8 q^{26} + 18 q^{27} - 16 q^{29} - 8 q^{30} - 68 q^{35} - 8 q^{36} - 8 q^{39} - 10 q^{42} - 4 q^{43} + 10 q^{49}+ \cdots + 8 q^{92}+O(q^{100}) \) 28 * q + 14 * q^4 - 16 * q^9 + 2 * q^13 + 8 * q^14 - 14 * q^16 + 16 * q^17 - 8 * q^23 + 14 * q^25 + 8 * q^26 + 18 * q^27 - 16 * q^29 - 8 * q^30 - 68 * q^35 - 8 * q^36 - 8 * q^39 - 10 * q^42 - 4 * q^43 + 10 * q^49 + 58 * q^51 - 2 * q^52 - 120 * q^53 - 8 * q^56 + 28 * q^61 + 68 * q^62 - 28 * q^64 - 8 * q^65 - 24 * q^66 + 8 * q^68 - 92 * q^69 + 16 * q^74 + 32 * q^75 - 24 * q^77 - 22 * q^78 + 28 * q^79 + 8 * q^81 - 48 * q^82 + 68 * q^87 - 50 * q^90 + 8 * q^92

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